Class Name | Description |
A templatized vector class. |
Class Name | Type | Header Files |
A banded matrix. A banded matrix is nonzero only near the diagonal. | rw/lapack/bandmat.h | |
A Hermitian banded matrix. A Hermitian banded matrix is Hermitian, and nonzero only near the diagonal. | rw/lapack/hbndmat.h | |
A Hermitian dense matrix. A Hermitian matrix is defined by the requirement that Aij = conj(Aji). | rw/lapack/hermmat.h | |
A lower triangular matrix. A lower triangular matrix is 0 above the diagonal. | rw/lapack/ltrimat.h | |
A skew symmetric matrix. | rw/lapack/skewmat.h | |
A symmetric band matrix. A symmetric banded matrix is symmetric, and nonzero only near the diagonal. | rw/lapack/sbndmat.h | |
A symmetric matrix. A symmetric matrix is defined by the requirement that Aij = Aji, so a symmetric matrix is equal to its transpose. | rw/lapack/symmat.h | |
A tridiagonal matrix. A tridiagonal matrix is nonzero only on the diagonal, the subdiagonal, and the superdiagonal. | rw/lapack/trdgmat.h | |
An upper triangular matrix. An upper triangular matrix is 0 below the diagonal. | rw/lapack/utrimat.h |
Class Name | Type | Header File |
Encapsulates factorizations of banded systems. | rw/lapack/bandfct.h | |
Encapsulates factorizations of positive definite banded systems. | rw/lapack/pdbdfct.h | |
Encapsulates factorizations of positive definite systems. | rw/lapack/pdfct.h | |
Encapsulates factorizations of positive definite tridiagonal systems. | rw/lapack/pdtdfct.h | |
Encapsulates factorizations of general Hermitian systems. | rw/lapack/hermfct.h | |
Encapsulates factorizations of general symmetric systems. | rw/lapack/symfct.h | |
Encapsulates factorizations of tridiagonal systems. | rw/lapack/trdgfct.h |
Class Name | Type | Header File |
Encapsulates the eigenvalues and eigenvectors of a symmetric matrix, a Hermitian in the complex case. | rw/lapack/symeig.hrw/lapack/hermeig.h | |
An abstract base class for the symmetric eigenvalue servers. | rw/lapack/seigsrv.h | |
An abstract base class for the Hermitian eigenvalue servers. | rw/lapack/heigsrv.h | |
Servers for the positive definite QR method of computing eigenvalues. These servers apply only to matrices that you know are positive definite. | rw/lapack/seigsrv.hrw/lapack/heigsrv.h | |
Servers for the QR method of computing eigenvalues. | rw/lapack/seigsrv.hrw/lapack/heigsrv.h | |
Symmetric eigenvalue server classes, which allow the computation of only the eigenvalues in a given range and (optionally) their corresponding eigenvectors. | rw/lapack/seigsrv.h rw/lapack/heigsrv.h | |
Servers for the root-free QR method of computing eigenvalues. This method computes all the eigenvalues and no eigenvectors. | rw/lapack/seigsrv.h rw/lapack/heigsrv.h | |
Symmetric eigenvalue server classes and the Hermitian eigenvalue server class, respectively, allow the computation of a subset of the eigenvalues and (optionally) their corresponding eigenvectors. | rw/lapack/seigsrv.hrw/lapack/heigsrv.h | |
A tridiagonal decomposition of a symmetric matrix A: A=Q’TQ where Q is orthogonal and T is tridiagonal and real. | rw/lapack/td.h |
Class Name | Type | Header Files |
Encapsulates the eigenvalues and eigenvectors of a nonsymmetric matrix. | rw/lapack/eig.h | |
Abstract base classes for the nonsymmetric eigenvalue servers. | rw/lapack/eigsrv.h | |
Encapsulates Hessenberg decomposition eigenvalue servers, which are used to construct eigenvalue decomposition objects. | rw/lapack/eigsrv.h | |
Encapsulates a Hessenberg decomposition as well as an optional balance transformation. | rw/lapack/hess.h | |
Encapsulates a Schur decomposition as well as an optional balance transformation. | rw/lapack/schur.h | |
Encapsulates Schur decomposition eigenvalue servers which construct eigenvalue decomposition objects from Schur decompositions. | rw/lapack/eigsrv.h |
Class Name | Type | Header File |
Encapsulates a factorization object using a Ch factorization. | rw/lapack/lsch.h | |
Encapsulates a factorization object using a QR factorization. | rw/lapack/lsqr.h | |
Encapsulates a factorization object using a SV factorization. | rw/lapack/lssv.h |
Class Name | Type | Header File |
A permutation and balance transformation performed on a nonsymmetric matrix before computing its eigenvalues. | rw/lapack/bal.h | |
Encapsulates two transformations: a permutation and balance transformation performed on a nonsymmetric matrix before computing its eigenvalues. | rw/lapack/bal.h | |
A symmetric tridiagonal decomposition of a symmetric banded matrix A: A=QTQ’ where Q is orthogonal and T is real tridiagonal symmetric. | rw/lapack/td.h | |
Encapsulates a complete orthogonal decomposition. | rw/lapack/co.h | |
The symmetric tridiagonal decomposition of a dense symmetric matrix A, where:A: A=QTQ’ and Q is orthogonal and T is real tridiagonal symmetric. | rw/lapack/td.h | |
Computes the QR decomposition of a matrix using LAPACK function xgeqpf or xgeqrf. | rw/lapack/qrcalc.h | |
Computes the QR decomposition of a matrix using LAPACK function xgeqp3. | rw/lapack/qrcalcp3.h | |
Used to construct and work with QR decompositions or to solve linear least squares problems. | rw/lapack/qr.h | |
A QR decomposition server used to construct instances of the QR decomposition classes, | rw/lapack/qr.h | |
Computes the singular value decomposition of a matrix. | rw/lapack/svdcalc.h | |
Computes the singular value decomposition of a matrix using divide-and-conquer. | rw/lapack/svddccalc.h | |
Used to construct and work with singular value decompositions. | rw/lapack/sv.h | |
Used to construct instances of the singular value decomposition class. | rw/lapack/sv.h |