MAN page from OpenSuSE 12.X lapack-man-3.3.1-15.1.noarch.rpm

CGBTRS

Section: LAPACK routine (version 3.2) (1)
Updated: April 2011
Index

NAME

LAPACK-3 - solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general band matrix A using the LU factorization computed by CGBTRF

SYNOPSIS

SUBROUTINE CGBTRS(: TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB,INFO )
: CHARACTERTRANS
: INTEGERINFO, KL, KU, LDAB, LDB, N, NRHS
: INTEGERIPIV( * )
: COMPLEXAB( LDAB, * ), B( LDB, * )

PURPOSE

CGBTRS solves a system of linear equations
A * X = B, A**T * X = B, or A**H * X = Bwith a general band matrix A using the LU factorization computedby CGBTRF.

ARGUMENTS

TRANS (input) CHARACTER*1: Specifies the form of the system of equations.
= aqNaq:  A * X = B     (No transpose)

= aqTaq:  A**T * X = B  (Transpose)

= aqCaq:  A**H * X = B  (Conjugate transpose)
N (input) INTEGER: The order of the matrix A. N >= 0.
KL (input) INTEGER: The number of subdiagonals within the band of A. KL >= 0.
KU (input) INTEGER: The number of superdiagonals within the band of A. KU >= 0.
NRHS (input) INTEGER: The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
AB (input) COMPLEX array, dimension (LDAB,N): Details of the LU factorization of the band matrix A, as
computed by CGBTRF. U is stored as an upper triangular band
matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
the multipliers used during the factorization are stored in
rows KL+KU+2 to 2*KL+KU+1.
LDAB (input) INTEGER: The leading dimension of the array AB. LDAB >= 2*KL+KU+1.
IPIV (input) INTEGER array, dimension (N): The pivot indices; for 1 <= i <= N, row i of the matrix was
interchanged with row IPIV(i).
B (input/output) COMPLEX array, dimension (LDB,NRHS): On entry, the right hand side matrix B.
On exit, the solution matrix X.
LDB (input) INTEGER: The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER: = 0: successful exit

< 0: if INFO = -i, the i-th argument had an illegal value

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