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TABLE A-1 LAPACK (Linear Algebra Package) Routines (Continued) Routine Function Real Orthogonal Matrix in Packed Storage SOPGTR or DOPGTR Generates an orthogonal transformation matrix from a tridiagonal matrix determined by SSPTRD or DSPTRD. SOPMTR or DOPMTR Multiplies a general matrix by the orthogonal transformation matrix reduced to tridiagonal form by SSPTRD or DSPTRD. Real Orthogonal Matrix 136 SORGBR or DORGBR Generates the orthogonal transformation matrices from reduction to bidiagonal form, as determined by SGEBRD or DGEBRD. SORGHR or DORGHR Generates the orthogonal transformation matrix reduced to Hessenberg form, as determined by SGEHRD or DGEHRD. SORGLQ or DORGLQ Generates an orthogonal matrix Q from an LQ factorization, as returned by SGELQF or DGELQF. SORGQL or DORGQL Generates an orthogonal matrix Q from a QL factorization, as returned by SGEQLF or DGEQLF. SORGQR or DORGQR Generates an orthogonal matrix Q from a QR factorization, as returned by SGEQRF or DGEQRF. SORGRQ or DORGRQ Generates orthogonal matrix Q from an RQ factorization, as returned by SGERQF or DGERQF. SORGTR or DORGTR Generates an orthogonal matrix reduced to tridiagonal form by SSYTRD or DSYTRD. SORMBR or DORMBR Multiplies a general matrix with the orthogonal matrix reduced to bidiagonal form, as determined by SGEBRD or DGEBRD. SORMHR or DORMHR Multiplies a general matrix by the orthogonal matrix reduced to Hessenberg form by SGEHRD or DGEHRD. SORMLQ (P) or DORMLQ (P) Multiplies a general matrix by the orthogonal matrix from an LQ factorization, as returned by SGELQF or DGELQF. SORMQL (P) or DORMQL (P) Multiplies a general matrix by the orthogonal matrix from a QL factorization, as returned by SGEQLF or DGEQLF. SORMQR (P) or DORMQR (P) Multiplies a general matrix by the orthogonal matrix from a QR factorization, as returned by SGEQRF or DGEQRF. SORMR3 or DORMR3 Multiplies a general matrix by the orthogonal matrix returned by STZRZF or DTZRZF. SORMRQ (P) or DORMRQ (P) Multiplies a general matrix by the orthogonal matrix from an RQ factorization returned by SGERQF or DGERQF. SORMRZ or DORMRZ Multiplies a general matrix by the orthogonal matrix from an RZ factorization, as returned by STZRZF or DTZRZF. Sun Performance Library User’s Guide • May 2003
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