ComplexMatrix

A ComplexMatrix.

Factories

filled(const List<integer> shape, complex value) -> ComplexMatrix

Creates a container with the specified shape and type, filled with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.

filled(const List<integer> shape, real value) -> ComplexMatrix

Creates a container with the specified shape and type, filled with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.

filled(const List<integer> shape, integer value) -> ComplexMatrix

Creates a container with the specified shape and type, filled with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.

filled(const List<integer> shape, bool value) -> ComplexMatrix

Creates a container with the specified shape and type, filled with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.

filled(const List<integer> shape, complex value, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, real value, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, real value, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, real value, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, integer value, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, real value, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, integer value, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, integer value, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, integer value, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, complex value, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, complex value, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, complex value, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, bool value, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, bool value, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, bool value, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled(const List<integer> shape, bool value, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with with the specified value.

Parameters

• shape: The shape of the container to create.
• value: The value with which to fill the container.
• type: The type of the container to create.

filled_like(const ComplexMatrix lhs, integer c) -> ComplexMatrix

Return a container with the same shape and type as a given container, filled with a prescribed value.

Parameters

• lhs: The input container.
• c: The constant value to fill with.

filled_like(const ComplexMatrix lhs, real c) -> ComplexMatrix

Return a container with the same shape and type as a given container, filled with a prescribed value.

Parameters

• lhs: The input container.
• c: The constant value to fill with.

filled_like(const ComplexMatrix lhs, complex c) -> ComplexMatrix

Return a container with the same shape and type as a given container, filled with a prescribed value.

Parameters

• lhs: The input container.
• c: The constant value to fill with.

filled_like(const ComplexMatrix lhs, bool c) -> ComplexMatrix

Return a container with the same shape and type as a given container, filled with a prescribed value.

Parameters

• lhs: The input container.
• c: The constant value to fill with.

identity(const List<integer> shape) -> ComplexMatrix

Creates an identity matrix (or array; possibly rectangular) with the specified shape and type.

Parameters

• shape: The shape of the container to create.

identity(const List<integer> shape, as_matrix type) -> ComplexMatrix

Creates an identity matrix (or array; possibly rectangular) with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

identity(const List<integer> shape, as_complex type) -> ComplexMatrix

Creates an identity matrix (or array; possibly rectangular) with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

identity(const List<integer> shape, as_complex | as_matrix type) -> ComplexMatrix

Creates an identity matrix (or array; possibly rectangular) with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

identity(const List<integer> shape, as_scalar type) -> ComplexMatrix

Creates an identity matrix (or array; possibly rectangular) with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

identity_like(const ComplexMatrix lhs) -> ComplexMatrix

Return the identity with the same shape and type as a given container.

Parameters

• lhs: The input container.

matrix(const ComplexSparseMatrix array) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexSparseMatrix.

matrix(const Operator operator) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.

matrix(const ComplexMatrix array) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexMatrix.

matrix(const ComplexArray array) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexArray.

matrix(const List list) -> ComplexMatrix

Converts a list or list of list to a container.

Parameters

• list: The list containing the values.

matrix(const RealArray array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealArray.
• type: The type of the matrix to create.

matrix(const RealSparseMatrix array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealSparseMatrix.
• type: The type of the matrix to create.

matrix(const List list, as_matrix type) -> ComplexMatrix

Converts a list or list of list to a sparse matrix.

Parameters

• list: The list containing the values.
• type: The type of the container to create.

matrix(const RealArray array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealArray.
• type: The type of the matrix to create.

matrix(const ComplexSparseMatrix array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexSparseMatrix.
• type: The type of the matrix to create.

matrix(const ComplexSparseMatrix array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexSparseMatrix.
• type: The type of the matrix to create.

matrix(const IntegerArray array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input IntegerArray.
• type: The type of the matrix to create.

matrix(const List list, as_scalar type) -> ComplexMatrix

Converts a list or list of list to a sparse matrix.

Parameters

• list: The list containing the values.
• type: The type of the container to create.

matrix(const List list, as_complex | as_matrix type) -> ComplexMatrix

Converts a list or list of list to a sparse matrix.

Parameters

• list: The list containing the values.
• type: The type of the container to create.

matrix(const List list, as_complex type) -> ComplexMatrix

Converts a list or list of list to a sparse matrix.

Parameters

• list: The list containing the values.
• type: The type of the container to create.

matrix(const ComplexArray array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexArray.
• type: The type of the matrix to create.

matrix(const Operator operator, as_complex | as_matrix type_tag) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.
• type_tag: A global constant tagging the object type.

matrix(const BoolArray array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input BoolArray.
• type: The type of the matrix to create.

matrix(const ComplexMatrix array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexMatrix.
• type: The type of the matrix to create.

matrix(const ComplexMatrix array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexMatrix.
• type: The type of the matrix to create.

matrix(const RealMatrix array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealMatrix.
• type: The type of the matrix to create.

matrix(const RealMatrix array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealMatrix.
• type: The type of the matrix to create.

matrix(const IntegerArray array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input IntegerArray.
• type: The type of the matrix to create.

matrix(const Operator operator, as_complex type_tag) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.
• type_tag: A global constant tagging the object type.

matrix(const Operator operator, as_matrix type_tag) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.
• type_tag: A global constant tagging the object type.

matrix(const Operator operator, integer num_sites) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.
• num_sites: The number of sites.

matrix(const BoolArray array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input BoolArray.
• type: The type of the matrix to create.

matrix(const ComplexArray array, as_complex | as_sparsematrix type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input ComplexArray.
• type: The type of the matrix to create.

matrix(const RealSparseMatrix array, as_complex type) -> ComplexMatrix

Converts a container to a matrix with the same elements.

Arrays support elementwise operations, matrices support matrix algebra (e.g., operator *).

Parameters

• array: The input RealSparseMatrix.
• type: The type of the matrix to create.

matrix(const Operator operator, integer num_sites, as_complex type_tag) -> ComplexMatrix

Converts the operator to its matrix representation.

Parameters

• operator: The operator to convert.
• num_sites: The number of sites.
• type_tag: A global constant tagging the object type.

ones(const List<integer> shape) -> ComplexMatrix

Creates a container with the specified shape and type, filled with ones.

Parameters

• shape: The shape of the container to create.

ones(const List<integer> shape, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with ones.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

ones(const List<integer> shape, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with ones.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

ones(const List<integer> shape, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with ones.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

ones(const List<integer> shape, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with ones.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

ones_like(const ComplexMatrix lhs) -> ComplexMatrix

Return a container of ones with the same shape and type as a given container.

Parameters

• lhs: The input container.

random(const List<integer> shape) -> ComplexMatrix

Creates a container with the specified shape and type, filled with random values.

Parameters

• shape: The shape of the container to create.

random(const List<integer> shape, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with random values.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

random(const List<integer> shape, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with random values.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

random(const List<integer> shape, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with random values.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

random(const List<integer> shape, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with random values.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

uninitialized(const List<integer> shape) -> ComplexMatrix

Creates a container with the specified shape and type.

Parameters

• shape: The shape of the container to create.

uninitialized(const List<integer> shape, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

uninitialized(const List<integer> shape, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

uninitialized(const List<integer> shape, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

uninitialized(const List<integer> shape, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

uninitialized_like(const ComplexMatrix lhs) -> ComplexMatrix

Return a container of uninitialized values with the same shape and type as a given container.

Parameters

• lhs: The input container.

vector(const List list) -> ComplexMatrix

Converts a list to a column-vector.

Parameters

• list: The list containing the values.

vector(const List list, as_complex type) -> ComplexMatrix

Converts a list to a column-vector.

Parameters

• list: The list containing the values.
• type: The type of the vector to create.

vector(const List list, as_scalar type) -> ComplexMatrix

Converts a list to a column-vector.

Parameters

• list: The list containing the values.
• type: The type of the vector to create.

zeros(const List<integer> shape) -> ComplexMatrix

Creates a container with the specified shape and type, filled with zeros.

Parameters

• shape: The shape of the container to create.

zeros(const List<integer> shape, as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with zeros.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

zeros(const List<integer> shape, as_complex type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with zeros.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

zeros(const List<integer> shape, as_scalar type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with zeros.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

zeros(const List<integer> shape, as_complex | as_matrix type) -> ComplexMatrix

Creates a container with the specified shape and type, filled with zeros.

Parameters

• shape: The shape of the container to create.
• type: The type of the container to create.

zeros_like(const ComplexMatrix lhs) -> ComplexMatrix

Return a container of zeros with the same shape and type as a given container.

Parameters

• lhs: The input container.

Constructors

ComplexMatrix() -> ComplexMatrix

Creates an empty ComplexMatrix.

ComplexMatrix(const List list) -> ComplexMatrix

Creates an ComplexMatrix from a list of lists of elements.

Parameters

• list: A list of elements to populate the column array.

ComplexMatrix(integer m) -> ComplexMatrix

Creates an m x 1 ComplexMatrix. The array comes out uninitialized.

Parameters

• m: The number of rows.

ComplexMatrix(integer m, integer n) -> ComplexMatrix

Creates an m x n ComplexMatrix. The array comes out uninitialized.

Parameters

• m: The number of rows.
• n: The number of columns.

Symbols

Name	Description
*	Matrix-scalar multiplication operator.
*=	Matrix-scalar multiplication-assignment compound operator.
+	Matrix addition operator.
+=	Matrix addition-assignment compound operator.
-	Matrix subtraction operator.
-=	Matrix subtraction-assignment compound operator.
/	Matrix-scalar division operator.
/=	Matrix-scalar division-assignment compound operator.
=	Matrix assignment operator.
[]	Gets or sets the element at index i of the ComplexMatrix.

Members

Name	Description
adjoint	Adjoints (conjugate-transpose) the ComplexMatrix in place.
adjointed	Returns the adjoint (conjugate-transpose) of the given matrix.
all	Returns true if all elements of the ComplexMatrix are finite.
all_finite	Returns true if all elements of the ComplexMatrix are finite.
any	Returns true if any element of the ComplexMatrix is finite.
as_diagonal	Turns a ComplexMatrix into a diagonal matrix. The input must be one-dimensional.
block	Get a block (sub-ComplexMatrix) of the ComplexMatrix.
bottom_left_corner	Get the bottom-left corner of the ComplexMatrix.
bottom_right_corner	Get the bottom-right corner of the ComplexMatrix.
bottom_rows	Get the bottom rows of the ComplexMatrix.
col	Get a column of the ComplexMatrix.
cols	Returns the number of columns of a ComplexMatrix.
cond	Returns the 2-norm condition number of the matrix, which is the ratio of the largest to the smallest singular value.
container_type	Returns the underlying container type of the ComplexMatrix.
cos	Computes the matrix cosine of the ComplexMatrix lhs.
cosh	Computes the matrix hyperbolic cosine of the ComplexMatrix lhs.
count	Counts the number of finite elements in the ComplexMatrix.
determinant	This function computes the determinant of the given matrix.
diagonal	Returns the diagonal elements of the ComplexMatrix as a column vector.
dot	This function computes the dot product between two matrices. The left-hand-side variable is complex conjugated.
exp	Computes the matrix exponential of the ComplexMatrix lhs.
fill	Sets all elements of the ComplexMatrix lhs to the constant c.
flatten	Flattens the ComplexMatrix in-place.
flattened	Returns a flattened copy of the ComplexMatrix.
flip	Flips the ComplexMatrix along the specified dimension.
flipped	Returns a ComplexMatrix flipped along the specified dimension.
has_nan	Returns true if the ComplexMatrix has any NaN (not-a-number) elements.
inverse	Computes the inverse of the given matrix in-place.
inversed	Computes the inverse of the given matrix.
is_approx	Returns true if the ComplexMatrix lhs is approximately equal to the ComplexMatrix rhs.
is_approx_to_constant	Returns true if all elements of the ComplexMatrix lhs are approximately equal to the constant val.
is_array	Whether the container is an array (which supports elementwise operations).
is_bool	Whether the underlying scalar type of the ComplexMatrix is bool.
is_column_vector	Returns true if the container is a column-vector.
is_complex	Whether the underlying scalar type of the ComplexMatrix is complex.
is_constant	Returns true if all elements of the ComplexMatrix lhs are the same.
is_dense	Whether the container is dense.
is_diagonal	Checks if a ComplexMatrix is approximately equal to a diagonal matrix.
is_hermitian	Checks if a ComplexMatrix is approximately equal to a Hermitian matrix. Uses the default tolerance eps = 2.220446049250313e-16.
is_identity	Checks if a ComplexMatrix is approximately equal to the identity matrix.
is_integer	Whether the underlying scalar type of the ComplexMatrix is integer.
is_lower_triangular	Checks if a ComplexMatrix is approximately equal to a lower triangular matrix.
is_matrix	Whether the container is a matrix (which supports matrix algebra).
is_much_smaller_than	Returns true if the norm of the ComplexMatrix lhs is much smaller than the specified constant val, within the specified tolerance.
is_ones	Returns true if all elements of the ComplexMatrix lhs are approximately 1, within the specified tolerance.
is_orthogonal	Returns true if the ComplexMatrix lhs is orthogonal to the ComplexMatrix rhs. This function is only supported by one-dimensional matrices (i.e. vectors)
is_real	Whether the underlying scalar type of the ComplexMatrix is real.
is_row_vector	Returns true if the container is a row-vector.
is_scalar	Returns true if the container is a scalar (or a container containing a single element).
is_sparse	Whether the container is sparse.
is_symmetric	Checks if a ComplexMatrix is approximately equal to a symmetric matrix.
is_unitary	Checks if a ComplexMatrix is approximately equal to a unitary matrix.
is_upper_triangular	Checks if a ComplexMatrix is approximately equal to an upper triangular matrix.
is_vector	Returns true if the container is a vector.
is_zero	Returns true if all elements of the ComplexMatrix lhs are 0.
left_cols	Get the left columns of the ComplexMatrix.
linspace	Sets all elements of the ComplexMatrix lhs to linearly spaced values. This function is only supported by one-dimensional matrices (i.e. vectors)
linspaced	Sets all elements of the ComplexMatrix lhs to linearly spaced values. This function is only supported by one-dimensional matrices (i.e. vectors)
list	Converts the ComplexMatrix arr to a list with the same elements.
log	Computes the matrix logarithm of the ComplexMatrix lhs.
lower_triangular	Returns the lower triangular part of the ComplexMatrix lhs.
lrflip	Flips the ComplexMatrix left-right (i.e. flips each row).
lrflipped	Returns a ComplexMatrix flipped left-right (rows; along the 1-st dimension).
middle_cols	Get the middle columns of the ComplexMatrix.
middle_rows	Get the middle rows of the ComplexMatrix.
norm	Returns the Frobenius norm of the ComplexMatrix lhs.
normalize	This function normalizes the vector in place.
normalized	This function returns the normalized version of this vector.
operator_norm	Computes the L2 operator norm of the ComplexMatrix lhs.
pow	Computes the matrix power of the ComplexMatrix lhs.
random_like	Return a ComplexMatrix of random numbers with the same shape and type as a given ComplexMatrix.
rank	Returns the rank of the ComplexMatrix leveraging the SVD decomposition.
rcond	Returns the reciprocal condition number of the matrix, which is the ratio of the smallest to the largest singular value.
real	Returns the real component of a ComplexMatrix.
replicate	Replicates the elements of the ComplexMatrix lhs in-place by the specified factors.
replicated	Replicates the elements of the ComplexMatrix lhs by the specified factors.
reshape	Reshapes the ComplexMatrix in-place to the given dimensions.
reshaped	Reshapes the ComplexMatrix to the given dimensions.
resize	Resizes the ComplexMatrix lhs to the given dimensions.
reverse	Reverses the ComplexMatrix in place.
reversed	Returns a reversed copy of the ComplexMatrix.
right_cols	Get the right columns of the ComplexMatrix.
rotate	Returns a (counter-clockwise) rotated copy of the ComplexMatrix.
rotated	Returns a (counter-clockwise) rotated copy of the ComplexMatrix.
row	Get a row of the ComplexMatrix.
rows	Returns the number of rows of a ComplexMatrix.
scalar_type	Returns the underlying scalar type of the ComplexMatrix.
select	Gets or sets the elements of the ComplexMatrix using slices.
set_block	Sets a block of the ComplexMatrix lhs to the values in the ComplexMatrix rhs.
set_bottom_left_corner	Get the bottom-left corner of the ComplexMatrix.
set_bottom_right_corner	Get the bottom-right corner of the ComplexMatrix.
set_bottom_rows	Get the bottom rows of the ComplexMatrix.
set_col	Get a column of the ComplexMatrix.
set_constant	Sets all elements of the ComplexMatrix lhs to the constant c.
set_identity	Sets the ComplexMatrix lhs to the identity matrix.
set_left_cols	Get the left columns of the ComplexMatrix.
set_middle_cols	Get the middle columns of the ComplexMatrix.
set_middle_rows	Get the middle rows of the ComplexMatrix.
set_ones	Sets all elements of the ComplexMatrix lhs to 1.
set_random	Sets all elements of the ComplexMatrix lhs to random values on the interval [0, 1].
set_right_cols	Get the right columns of the ComplexMatrix.
set_row	Get a row of the ComplexMatrix.
set_select	Assign the values of rhs to a selection of the ComplexMatrix lhs.
set_top_left_corner	Get the top-left corner of the ComplexMatrix.
set_top_right_corner	Get the top-right corner of the ComplexMatrix.
set_top_rows	Get the top rows of the ComplexMatrix.
set_unit	Sets the ComplexMatrix lhs to the unit vector with the specified dimension.
set_zero	Sets all elements of the ComplexMatrix lhs to 0.
shape	Returns the shape of a ComplexMatrix.
shift	Returns a (periodically) shifted copy of the ComplexMatrix.
shifted	Returns a (periodically) shifted copy of the ComplexMatrix.
sin	Computes the matrix sine of the ComplexMatrix lhs.
sinh	Computes the matrix hyperbolic sine of the ComplexMatrix lhs.
size	Returns the number of elements of a ComplexMatrix.
sqrt	Computes the matrix square root of the ComplexMatrix lhs.
squared_norm	Returns the squared Frobenius norm of the ComplexMatrix lhs.
stable_normalize	This function normalizes the vector in place using a stable algorithm.
stable_normalized	This function returns the normalized version of this vector using a stable algorithm.
swap	Swaps the contents of the ComplexMatrix lhs and rhs.
top_left_corner	Get the top-left corner of the ComplexMatrix.
top_right_corner	Get the top-right corner of the ComplexMatrix.
top_rows	Get the top rows of the ComplexMatrix.
trace	Returns the trace of the ComplexMatrix lhs.
transpose	Transposes the ComplexMatrix in place.
transposed	Returns the transpose of the given matrix.
udflip	Flips the ComplexMatrix up-down (i.e. flips each column).
udflipped	Returns a ComplexMatrix flipped up-down (columns; along the 0-th dimension).
upper_triangular	Returns the upper triangular part of the ComplexMatrix lhs.
value	Returns the unique coefficient of a 1x1 ComplexMatrix.