Procedures

This interface provides different methods to construct a Bidiagonal matrix. Only the non-zero elements of $A$ are stored, i.e.

This interface provides methods to construct Circulant matrices. Given a vector $\mathbf{c} = (c_1, c_2, \cdots, c_n)$, the associated Circulant matrix is the following [n x n] matrix

Utility function to embed an m x n Toeplitz matrix into an (m+n) x (m+n) Circulant matrix.

Convert a Circulant matrix to its dense representation.

This interface provides methods to convert a Bidiagonal matrix to a regular rank-2 array.

Convert a Toeplitz matrix to a standard rank-2 array.

This interface provides methods to convert a SymTridiagonal matrix to a regular rank-2 array.

Cnvert a matrix of type Poisson2D to its dense representation as a standard rank-2 array.

Convert a matrix of type Strang to its dense representation as a standard rank-2 array

This interface provides methods to convert a Diagonal matrix to a regular rank-2 array.

This interface provides methods to convert a Tridiagonal matrix to a regular rank-2 array.

This interface overloads the det interface from stdlib_linag to compute the determinant $\det(A)$ where $A$ is of type Bidiagonal.

This interface overloads the det interface from stdlib_linag to compute the determinant $\det(A)$ where $A$ is of type SymTridiagonal.

This interface overloads the det interface from stdlib_linalg to compute the determinant $\det(A)$ where $A$ is of type Strang.

This interface overloads the det interface from stdlib_linag to compute the determinant $\det(A)$ where $A$ is of type Diagonal.

This interface overloads the det interface from stdlib_linag to compute the determinant $\det(A)$ where $A$ is of type Tridiagonal.

This interface provides different methods to construct a Diagonal matrix. Only the diagonal elements of $A$ are being stored, i.e.

This interface overloads the eig interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a real-valued matrix $A$ whose type is Circulant.

This interface overloads the eigh interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a real-valued matrix $A$ whose type is Bidiagonal.

This interface overloads the eig interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a real-valued matrix $A$ whose type is Toeplitz.

This interface overloads the eig interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a real-valued matrix $A$ whose type is Tridiagonal.

This interface overloads the eigh interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a matrix $A$ whose type is SymTridiagonal.

This interface overloads the eigh interface from stdlib_linalg to compute the eigenvalues and eigenvectors of the Poisson2D matrix $A$.

This interface overloads the eigh interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a Strang matrix.

This interface overloads the eigh interface from stdlib_linalg to compute the eigenvalues and eigenvectors of a real-valued matrix $A$ whose type is Diagonal.

This interface overloads the eigvals interface from stdlib_linalg to compute the eigenvalues of a real-valued matrix $A$ whose type is Circulant.

This interface overloads the eigvalsh interface from stdlib_linalg to compute the eigenvalues of a real-valued matrix $A$ whose type is Bidiagonal.

This interface overloads the eigvals interface from stdlib_linalg to compute the eigenvalues of a real-valued matrix $A$ whose type is Toeplitz.

This interface overloads the eigvals interface from stdlib_linalg to compute the eigenvalues of a real-valued matrix $A$ whose type is Tridiagonal.

This interface overloads the eigvalsh interface from stdlib_linalg to compute the eigenvalues of a matrix $A$ whose type is SymTridiagonal.

This interface overloads the eigvalsh interface from stdlib_linalg to compute the eigenvalues of the Poisson2D matrix $A$.

This interface overloads the eigvalsh interface from stdlib_linalg to compute the eigenvalues of a Strang matrix. Note that these eigenvalues are known analytically.

This interface overloads the eigvalsh interface from stdlib_linalg to compute the eigenvalues of a real-valued matrix $A$ whose type is Diagonal.

This interface overloads the Fortran intrinsic matmul for a Circulant matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Circulant matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a Bidiagonal matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Bidiagonal matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a Toeplitz matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Toeplitz matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a SymTridiagonal matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a SymTridiagonal matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a Poisson2D matrixn, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Poisson2D matrix. Both $B$ and $C$ are standard Fortran rank-2 arrays.

This interface overloads the Fortran intrinsic matmul for the Strang matrix, both for matrix-vector and matrix-matrix products. For matrix-matrix product $C = A B$, only $A$ can be a Strang matrix. Both $B$ and $C$ are standard rank-2 arrays. All underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a Diagonal matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Diagonal matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

This interface overloads the Fortran intrinsic matmul for a Tridiagonal matrix, both for matrix-vector and matrix-matrix products. For a matrix-matrix product $C = AB$, only the matrix $A$ has to be a Tridiagonal matrix. Both $B$ and $C$ need to be standard Fortran rank-2 arrays. All the underlying functions are defined as pure.

Constructor for generating a Poisson2D matrix. The matrix corresponds to the standard second-order accurate finite-difference approximation of the Laplace operator with homogeneous Dirichlet boundary conditions.

Utility function to return the shape of a Circulant matrix.

Utility function to return the size of a Toeplitz matrix.

Utility function to return the shape a Poisson2D matrix $A$.

Utility function returning the shape of a Strang matrix $A$.

Utility function to return the size of a Circulant matrix along a given dimension.

Utility function to return the size of Toeplitz matrix along a given dimension.

Utility function to return the size of a Poisson2D matrix $A$ along a given dimension.

Utility function returning the size of a Strang matrix $A$ along a given dimension.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a Circulant matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a Bidiagonal matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a Toeplitz matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a SymTridiagonal matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a system $Ax = b$ where $A$ is a Poisson2D matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a system $Ax = b$ where $A$ is a Strang matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a Diagonal matrix. It also enables to solve a linear system with multiple right-hand sides.

This interface overloads the solve interface from stdlib_linalg for solving a linear system $Ax = b$ where $A$ is a Tridiagonal matrix. It also enables to solve a linear system with multiple right-hand sides.

Constructor for generating the Strang matrix of size n. The matrix corresponds to the standard 3-point finite-difference approximation of the 1D Laplace operator with unit grid-spacing ($\Delta x = 1$) and homogeneous Dirichlet boundary conditions. It reads

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a Circulant matrix $A$.

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a Bidiagonal matrix $A$.

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a Toeplitz matrix $A$.

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a SymTridiagonal matrix $A$.

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a Diagonal matrix $A$.

This interface overloads the svd interface from stdlib_linalg to compute the the singular value decomposition of a Tridiagonal matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a Circulant matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a Bidiagonal matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a Toeplitz matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a SymTridiagonal matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a Diagonal matrix $A$.

This interface overloads the svdvals interface from stdlib_linalg to compute the singular values of a Tridiagonal matrix $A$.

This interface provides different methods to construct a SymTridiagonal matrix. Only the non-zero elements of $A$ are stored, i.e.

This interface provides methods to construct Toeplitz matrices. Given a vector vc specifying the first column of the matrix and a vector vr specifying its first row, the associated Toeplitz matrix is the following $m \times n$ matrix

This interface overloads the trace interface from stdlib_linalg to compute the trace of a matrix $A$ of type Bidiagonal.

This interface overloads the trace interface from stdlib_linalg to compute the trace of a matrix $A$ of type SymTridiagonal.

This interface overloads the trace interface from stdlib_linalg to compute the trace of a matrix $A$ of type Strang.

This interface overloads the trace interface from stdlib_linalg to compute the trace of a matrix $A$ of type Diagonal.

This interface overloads the trace interface from stdlib_linalg to compute the trace of a matrix $A$ of type Tridiagonal.

This interface overloads the Fortran intrinsic procedure to define the transpose operation of a Circulant matrix.

This interface overloads the Fortran intrinsic procedure to define the transpose of a Bidiagonal matrix.

This interface overloads the Fortran intrinsic procedure to define the transpose operation of a Toeplitz matrix.

This interface overloads the Fortran intrinsic procedure to define the transpose operation for a SymTridiagonal matrix.

This interface overloads the Fortran intrinsic procedure to define the transpose operation for a Diagonal matrix.

This interface overloads the Fortran intrinsic procedure to define the transpose operation for a Tridiagonal matrix.

This interface provides different methods to construct a Tridiagonal matrix. Only the non-zero elements of $A$ are stored, i.e.