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TABLE A-1
LAPACK (Linear Algebra Package) Routines (Continued)
Routine
Function
Triangular Matrix
xTRCON
Estimates the reciprocal or the condition number of a triangular matrix.
xTREVC
Computes right and/or left eigenvectors of an upper triangular matrix.
xTREXC
Reorders Schur factorization of matrix using an orthogonal or unitary
similarity transformation.
xTRRFS
Determines error bounds and estimates for triangular system of a linear
equations.
xTRSEN
Reorders Schur factorization of matrix to group selected cluster of
eigenvalues in the leading positions on the diagonal of the upper
triangular matrix T and the leading columns of Q form an orthonormal
basis of the corresponding right invariant subspace.
xTRSNA
Estimates the reciprocal condition numbers of selected eigenvalues and
eigenvectors of an upper quasi-triangular matrix.
xTRSYL
Solves Sylvester matrix equation.
xTRTRI
Computes the inverse of a triangular matrix.
xTRTRS (P)
Solves a triangular system of linear equations.
Trapezoidal Matrix
xTZRQF
Depreciated routine replaced by routine xTZRZF.
xTZRZF
Reduces a rectangular upper trapezoidal matrix to upper triangular form
by means of orthogonal transformations.
Unitary Matrix
CUNGBR or
ZUNGBR
Generates the unitary transformation matrices from reduction to
bidiagonal form, as determined by CGEBRD or ZGEBRD.
CUNGHR or
ZUNGHR
Generates the orthogonal transformation matrix reduced to Hessenberg
form, as determined by CGEHRD or ZGEHRD.
CUNGLQ or
ZUNGLQ
Generates a unitary matrix Q from an LQ factorization, as returned by
CGELQF or ZGELQF.
CUNGQL or
ZUNGQL
Generates a unitary matrix Q from a QL factorization, as returned by
CGEQLF or ZGEQLF.
CUNGQR or
ZUNGQR
Generates a unitary matrix Q from a QR factorization, as returned by
CGEQRF or ZGEQRF.
CUNGRQ or
ZUNGRQ
Generates a unitary matrix Q from an RQ factorization, as returned by
CGERQF or ZGERQF.
CUNGTR or
ZUNGTR
Generates a unitary matrix reduced to tridiagonal form, by CHETRD or
ZHETRD.
Appendix A
Sun Performance Library Routines
143