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Class D5 ... QR decomposition, Gram-Schmidt orthogonalization

Modules for class D5

Package CEPHES at NETLIB

LINALG C routines for performing matrix operations, solving linear systems, finding eig ...

Package CLAPACK at NETLIB

CGELQF.C (ZGELQF.C) Computes an LQ factorization of a complex general rectangular matrix. (Computati ...
CGEQLF.C (ZGEQLF.C) Computes a QL factorization of a complex general rectangular matrix. (Computatio ...
CGEQPF.C (ZGEQPF.C) Computes a QR factorization with column pivoting of a general rectangular matrix ...
CGEQRF.C (ZGEQRF.C) Computes a QR factorization of a complex general rectangular matrix. (Computatio ...
CGERQF.C (ZGERQF.C) Computes an RQ factorization of a complex general rectangular matrix. (Computati ...
CTZRQF.C (ZTZRQF.C) Computes an RQ factorization of a complex upper trapezoidal matrix. (Computation ...
CUNGLQ.C (ZUNGLQ.C) Generates all or part of the unitary matrix Q from an LQ factorization determine ...
CUNGQL.C (ZUNGQL.C) Generates all or part of the unitary matrix Q from a QL factorization determined ...
CUNGQR.C (ZUNGQR.C) Generates all or part of the unitary matrix Q from a QR factorization determined ...
CUNGRQ.C (ZUNGRQ.C) Generates all or part of the unitary matrix Q from an RQ factorization determine ...
CUNMLQ.C (ZUNMLQ.C) Multiplies a complex general matrix by the unitary matrix from an LQ factorizati ...
CUNMQL.C (ZUNMQL.C) Multiplies a complex general matrix by the unitary matrix from a QL factorizatio ...
CUNMQR.C (ZUNMQR.C) Multiplies a complex general matrix by the unitary matrix from a QR factorizatio ...
CUNMRQ.C (ZUNMRQ.C) Multiplies a complex general matrix by the unitary matrix from an RQ factorizati ...
DGELQF.C (SGELQF.C) Computes an LQ factorization of a real general rectangular matrix. (Computationa ...
DGEQLF.C (SGEQLF.C) Computes a QL factorization of a real general rectangular matrix. (Computational ...
DGEQPF.C (SGEQPF.C) Computes a QR factorization with column pivoting of a general rectangular matrix ...
DGEQRF.C (SGEQRF.C) Computes a QR factorization of a real general rectangular matrix. (Computational ...
DGERQF.C (SGERQF.C) Computes an RQ factorization of a real general rectangular matrix. (Computationa ...
DORGLQ.C (SORGLQ.C) Generates all or part of the orthogonal matrix Q from an LQ factorization determ ...
DORGQL.C (SORGQL.C) Generates all or part of the orthogonal matrix Q from a QL factorization determi ...
DORGQR.C (SORGQR.C) Generates all or part of the orthogonal matrix Q from a QR factorization determi ...
DORGRQ.C (SORGRQ.C) Generates all or part of the orthogonal matrix Q from an RQ factorization determ ...
DORMLQ.C (SORMLQ.C) Multiplies a real general matrix by the orthogonal matrix from an LQ factorizati ...
DORMQL.C (SORMQL.C) Multiplies a real general matrix by the orthogonal matrix from a QL factorizatio ...
DORMQR.C (SORMQR.C) Multiplies a real general matrix by the orthogonal matrix from a QR factorizatio ...
DORMRQ.C (SORMRQ.C) Multiplies a real general matrix by the orthogonal matrix from an RQ factorizati ...
DTZRQF.C (STZRQF.C) Computes an RQ factorization of a real upper trapezoidal matrix. (Computational ...
SGELQF.C (DGELQF.C) Computes an LQ factorization of a real general rectangular matrix. (Computationa ...
SGEQLF.C (DGEQLF.C) Computes a QL factorization of a real general rectangular matrix. (Computational ...
SGEQPF.C (DGEQPF.C) Computes a QR factorization with column pivoting of a general rectangular matrix ...
SGEQRF.C (DGEQRF.C) Computes a QR factorization of a real general rectangular matrix. (Computational ...
SGERQF.C (DGERQF.C) Computes an RQ factorization of a real general rectangular matrix. (Computationa ...
SORGLQ.C (DORGLQ.C) Generates all or part of the orthogonal matrix Q from an LQ factorization determ ...
SORGQL.C (DORGQL.C) Generates all or part of the orthogonal matrix Q from a QL factorization determi ...
SORGQR.C (DORGQR.C) Generates all or part of the orthogonal matrix Q from a QR factorization determi ...
SORGRQ.C (DORGRQ.C) Generates all or part of the orthogonal matrix Q from an RQ factorization determ ...
SORMLQ.C (DORMLQ.C) Multiplies a real general matrix by the orthogonal matrix from an LQ factorizati ...
SORMQL.C (DORMQL.C) Multiplies a real general matrix by the orthogonal matrix from a QL factorizatio ...
SORMQR.C (DORMQR.C) Multiplies a real general matrix by the orthogonal matrix from a QR factorizatio ...
SORMRQ.C (DORMRQ.C) Multiplies a real general matrix by the orthogonal matrix from an RQ factorizati ...
STZRQF.C (DTZRQF.C) Computes an RQ factorization of a real upper trapezoidal matrix. (Computational ...
ZGELQF.C (CGELQF.C) Computes an LQ factorization of a complex general rectangular matrix. (Computati ...
ZGEQLF.C (CGEQLF.C) Computes a QL factorization of a complex general rectangular matrix. (Computatio ...
ZGEQPF.C (CGEQPF.C) Computes a QR factorization with column pivoting of a general rectangular matrix ...
ZGEQRF.C (CGEQRF.C) Computes a QR factorization of a complex general rectangular matrix. (Computatio ...
ZGERQF.C (CGERQF.C) Computes an RQ factorization of a complex general rectangular matrix. (Computati ...
ZTZRQF.C (CTZRQF.C) Computes an RQ factorization of a complex upper trapezoidal matrix. (Computation ...
ZUNGLQ.C (CUNGLQ.C) Generates all or part of the unitary matrix Q from an LQ factorization determine ...
ZUNGQL.C (CUNGQL.C) Generates all or part of the unitary matrix Q from a QL factorization determined ...
ZUNGQR.C (CUNGQR.C) Generates all or part of the unitary matrix Q from a QR factorization determined ...
ZUNGRQ.C (CUNGRQ.C) Generates all or part of the unitary matrix Q from an RQ factorization determine ...
ZUNMLQ.C (CUNMLQ.C) Multiplies a complex general matrix by the unitary matrix from an LQ factorizati ...
ZUNMQL.C (CUNMQL.C) Multiplies a complex general matrix by the unitary matrix from a QL factorizatio ...
ZUNMQR.C (CUNMQR.C) Multiplies a complex general matrix by the unitary matrix from a QR factorizatio ...
ZUNMRQ.C (CUNMRQ.C) Multiplies a complex general matrix by the unitary matrix from an RQ factorizati ...

Package CMLIB at ITL|ARNO

CQRDC Computes QR decomposition of general complex matrix.
DQRANK (SQRANK) For solving linear systems in least squares sense. Computes the QR decomposition ...
DQRDC (SQRDC) Compute QR decomposition of general double precision matrix.
SQRANK (DQRANK) For solving linear systems in least squares sense. Computes the QR decomposition ...
SQRDC (DQRDC) Computes QR decomposition of real general matrix.

Package IMSLM at ITL

DLQERR (LQERR) Accumulate the orthogonal matrix Q from its factored form given the QR factoriza ...
DLQRRR (LQRRR) Compute the QR decomposition using Householder transformations.
LQERR (DLQERR) Accumulate the orthogonal matrix Q from its factored form given the QR factoriza ...
LQRRR (DLQRRR) Compute the QR decomposition using Householder transformations.

Package LAPACK at NETLIB|ITL|ARNO

CGELQF (ZGELQF) Computes an LQ factorization of a complex general rectangular matrix. (Computati ...
CGEQLF (ZGEQLF) Computes a QL factorization of a complex general rectangular matrix. (Computatio ...
CGEQPF (ZGEQPF) Computes a QR factorization with column pivoting of a general rectangular matrix ...
CGEQRF (ZGEQRF) Computes a QR factorization of a complex general rectangular matrix. (Computatio ...
CGERQF (ZGERQF) Computes an RQ factorization of a complex general rectangular matrix. (Computati ...
CTZRQF (ZTZRQF) Computes an RQ factorization of a complex upper trapezoidal matrix. (Computation ...
CUNGLQ (ZUNGLQ) Generates all or part of the unitary matrix Q from an LQ factorization determine ...
CUNGQL (ZUNGQL) Generates all or part of the unitary matrix Q from a QL factorization determined ...
CUNGQR (ZUNGQR) Generates all or part of the unitary matrix Q from a QR factorization determined ...
CUNGRQ (ZUNGRQ) Generates all or part of the unitary matrix Q from an RQ factorization determine ...
CUNMLQ (ZUNMLQ) Multiplies a complex general matrix by the unitary matrix from an LQ factorizati ...
CUNMQL (ZUNMQL) Multiplies a complex general matrix by the unitary matrix from a QL factorizatio ...
CUNMQR (ZUNMQR) Multiplies a complex general matrix by the unitary matrix from a QR factorizatio ...
CUNMRQ (ZUNMRQ) Multiplies a complex general matrix by the unitary matrix from an RQ factorizati ...
DGELQF (SGELQF) Computes an LQ factorization of a real general rectangular matrix. (Computationa ...
DGEQLF (SGEQLF) Computes a QL factorization of a real general rectangular matrix. (Computational ...
DGEQPF (SGEQPF) Computes a QR factorization with column pivoting of a general rectangular matrix ...
DGEQRF (SGEQRF) Computes a QR factorization of a real general rectangular matrix. (Computational ...
DGERQF (SGERQF) Computes an RQ factorization of a real general rectangular matrix. (Computationa ...
DORGLQ (SORGLQ) Generates all or part of the orthogonal matrix Q from an LQ factorization determ ...
DORGQL (SORGQL) Generates all or part of the orthogonal matrix Q from a QL factorization determi ...
DORGQR (SORGQR) Generates all or part of the orthogonal matrix Q from a QR factorization determi ...
DORGRQ (SORGRQ) Generates all or part of the orthogonal matrix Q from an RQ factorization determ ...
DORMLQ (SORMLQ) Multiplies a real general matrix by the orthogonal matrix from an LQ factorizati ...
DORMQL (SORMQL) Multiplies a real general matrix by the orthogonal matrix from a QL factorizatio ...
DORMQR (SORMQR) Multiplies a real general matrix by the orthogonal matrix from a QR factorizatio ...
DORMRQ (SORMRQ) Multiplies a real general matrix by the orthogonal matrix from an RQ factorizati ...
DTZRQF (STZRQF) Computes an RQ factorization of a real upper trapezoidal matrix. (Computational ...
SGELQF (DGELQF) Computes an LQ factorization of a real general rectangular matrix. (Computationa ...
SGEQLF (DGEQLF) Computes a QL factorization of a real general rectangular matrix. (Computational ...
SGEQPF (DGEQPF) Computes a QR factorization with column pivoting of a general rectangular matrix ...
SGEQRF (DGEQRF) Computes a QR factorization of a real general rectangular matrix. (Computational ...
SGERQF (DGERQF) Computes an RQ factorization of a real general rectangular matrix. (Computationa ...
SORGLQ (DORGLQ) Generates all or part of the orthogonal matrix Q from an LQ factorization determ ...
SORGQL (DORGQL) Generates all or part of the orthogonal matrix Q from a QL factorization determi ...
SORGQR (DORGQR) Generates all or part of the orthogonal matrix Q from a QR factorization determi ...
SORGRQ (DORGRQ) Generates all or part of the orthogonal matrix Q from an RQ factorization determ ...
SORMLQ (DORMLQ) Multiplies a real general matrix by the orthogonal matrix from an LQ factorizati ...
SORMQL (DORMQL) Multiplies a real general matrix by the orthogonal matrix from a QL factorizatio ...
SORMQR (DORMQR) Multiplies a real general matrix by the orthogonal matrix from a QR factorizatio ...
SORMRQ (DORMRQ) Multiplies a real general matrix by the orthogonal matrix from an RQ factorizati ...
STZRQF (DTZRQF) Computes an RQ factorization of a real upper trapezoidal matrix. (Computational ...
ZGELQF (CGELQF) Computes an LQ factorization of a complex general rectangular matrix. (Computati ...
ZGEQLF (CGEQLF) Computes a QL factorization of a complex general rectangular matrix. (Computatio ...
ZGEQPF (CGEQPF) Computes a QR factorization with column pivoting of a general rectangular matrix ...
ZGEQRF (CGEQRF) Computes a QR factorization of a complex general rectangular matrix. (Computatio ...
ZGERQF (CGERQF) Computes an RQ factorization of a complex general rectangular matrix. (Computati ...
ZTZRQF (CTZRQF) Computes an RQ factorization of a complex upper trapezoidal matrix. (Computation ...
ZUNGLQ (CUNGLQ) Generates all or part of the unitary matrix Q from an LQ factorization determine ...
ZUNGQL (CUNGQL) Generates all or part of the unitary matrix Q from a QL factorization determined ...
ZUNGQR (CUNGQR) Generates all or part of the unitary matrix Q from a QR factorization determined ...
ZUNGRQ (CUNGRQ) Generates all or part of the unitary matrix Q from an RQ factorization determine ...
ZUNMLQ (CUNMLQ) Multiplies a complex general matrix by the unitary matrix from an LQ factorizati ...
ZUNMQL (CUNMQL) Multiplies a complex general matrix by the unitary matrix from a QL factorizatio ...
ZUNMQR (CUNMQR) Multiplies a complex general matrix by the unitary matrix from a QR factorizatio ...
ZUNMRQ (CUNMRQ) Multiplies a complex general matrix by the unitary matrix from an RQ factorizati ...

Package LINPACK at NETLIB|ARNO

CQRDC (ZQRDC) Computes QR decomposition of general complex matrix.
DQRDC (SQRDC) Compute QR decomposition of general double precision matrix.
SQRDC (DQRDC) Computes QR decomposition of real general matrix.
ZQRDC (CQRDC) Computes QR decomposition of general complex matrix.

Package NAG at ITL|AIX

F01QGF RQ factorization of real m by n upper trapezoidal matrix (m<=n).
F01QJF RQ factorization of real m by n matrix (m<=n).
F01QKF Operations with orthogonal matrices, form rows of Q, after RQ factorization by F ...
F01RGF RQ factorization of complex m by n upper trapezoidal matrix (m<=n).
F01RJF RQ factorization of complex m by n matrix (m<=n).
F01RKF Operations with unitary matrices, form rows of Q, after RQ factorization by F01R ...
F05AAF Applies the Schmidt orthogonalisation process to n vectors in m dimensional spac ...
F06QPF Performs QR factorisation by sequence of plane rotations, rank-1 update of real ...
F06QQF Performs QR factorisation by sequence of plane rotations, real upper triangular ...
F06QRF Performs QR or RQ factorisation by sequence of plane rotations, real upper Hesse ...
F06QSF Performs QR or RQ factorisation by sequence of plane rotations, real upper spike ...
F06QTF Performs QR factorisation of UZ or RQ factorisation of ZU, U real upper triangul ...
F06TPF Performs QR factorisation by sequence of plane rotations, rank-1 update of compl ...
F06TQF Performs QR factorisation by sequence of plane rotations, complex upper triangul ...
F06TRF Performs QR or RQ factorisation by sequence of plane rotations, complex upper He ...
F06TSF Performs QR or RQ factorisation by sequence of plane rotations, complex upper sp ...
F06TTF Performs QR factorisation of UZ or RQ factorisation of ZU, U complex upper trian ...
F08AEF Computes the QR factorization of a real m-by-n matrix (Alternate name DGEQRF).
F08AFF Generates all or part of the real orthogonal matrix Q from a QR factorization co ...
F08AGF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q from a QR ...
F08AHF Computes the LQ factorization of a real m-by-n matrix (Alternate name DGELQF).
F08AJF Generates all or part of the real orthogonal matrix Q from an LQ factorization c ...
F08AKF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q from an LQ ...
F08ASF Computes the QR factorization of a complex m-by-n matrix (Alternate name ZGEQRF) ...
F08ATF Generates all or part of the complex unitary matrix Q from a QR factorization co ...
F08AUF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q from a ...
F08AVF Computes the LQ factorization of a complex m-by-n matrix (Alternate name ZGELQF) ...
F08AWF Generates all or part of the complex unitary matrix Q from an LQ factorization c ...
F08AXF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q from an ...
F08BEF Computes the QR factorization, with column pivoting, of a real m-by-n matrix (Al ...
F08BSF Computes the QR factorization, with column pivoting, of a complex m-by-n matrix ...

Package NAGC at ITL

NAG_COMPLEX_QR Finds the QR factorization of the complex m by n matrix A, where m >= n.
NAG_COMPLEX_FORM_Q Returns the first ncolq columns of the m by m unitary matrix Q, where Q is given ...
NAG_COMPLEX_APPLY_Q Performs one of the transformations B : = QB or B: = Q^HB, where B is an m by nc ...
NAG_REAL_FORM_Q Returns the first ncolq columns of the real m by m orthogonal matrix Q, where Q ...
NAG_REAL_QR Finds the QR factorization of the real m by n matrix A, where m >= n.

Package NAPACK at NETLIB

BASIS Computes an orthonormal basis for a collection of vectors. The matrix containing ...
NULL Computes an orthonormal basis for the space perpendicular to a given collection ...
QR Computes the QR factorization of a matrix, with column pivoting.

Package NASHLIB at ITL

A3 Givens reduction of a real rectangular matrix. Illustrates use of algorithm A3GR ...

Package SCALAPACK at NETLIB

SCALAPACK High-performance linear algebra routines for distributed-memory message-passing ...

Package SLATEC at ITL|ARNO

CQRDC Use Householder transformations to compute the QR factorization of an N by P mat ...
DQRDC (SQRDC) Use Householder transformations to compute the QR factorization of an N by P mat ...
SQRDC (DQRDC) Use Householder transformations to compute the QR factorization of an N by P mat ...

Package TOMS at NETLIB

782 Computes rank-revealing QR (RRQR) factorization of dense matrices. Main contribu ...

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This page was generated on Tue Sep 16, 2008 at 10:31:36 UTC