Man page - gbtrs(3)

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Manual

gbtrs

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, complex, dimension( ldab, * ) ab, integer ldab, integer,dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb,integer info)
subroutine dgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, double precision, dimension( ldab, * ) ab, integer ldab,integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b,integer ldb, integer info)
subroutine sgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, real, dimension( ldab, * ) ab, integer ldab, integer,dimension( * ) ipiv, real, dimension( ldb, * ) b, integer ldb, integerinfo)
subroutine zgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, complex*16, dimension( ldab, * ) ab, integer ldab,integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b,integer ldb, integer info)
Author

NAME

gbtrs - gbtrs: triangular solve using factor

SYNOPSIS

Functions

subroutine cgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
CGBTRS
subroutine dgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
DGBTRS
subroutine sgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
SGBTRS
subroutine zgbtrs (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
ZGBTRS

Detailed Description

Function Documentation

subroutine cgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, complex, dimension( ldab, * ) ab, integer ldab, integer,dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb,integer info)

CGBTRS

Purpose:

CGBTRS 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.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the form of the system of equations.
= ’N’: A * X = B (No transpose)
= ’T’: A**T * X = B (Transpose)
= ’C’: A**H * X = B (Conjugate transpose)

N

N is INTEGER
The order of the matrix A. N >= 0.

KL

KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.

KU

KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.

AB

AB is 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

LDAB is INTEGER
The leading dimension of the array AB. LDAB >= 2*KL+KU+1.

IPIV

IPIV is INTEGER array, dimension (N)
The pivot indices; for 1 <= i <= N, row i of the matrix was
interchanged with row IPIV(i).

B

B is COMPLEX array, dimension (LDB,NRHS)
On entry, the right hand side matrix B.
On exit, the solution matrix X.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

INFO

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, double precision, dimension( ldab, * ) ab, integer ldab,integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b,integer ldb, integer info)

DGBTRS

Purpose:

DGBTRS solves a system of linear equations
A * X = B or A**T * X = B
with a general band matrix A using the LU factorization computed
by DGBTRF.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the form of the system of equations.
= ’N’: A * X = B (No transpose)
= ’T’: A**T* X = B (Transpose)
= ’C’: A**T* X = B (Conjugate transpose = Transpose)

N

N is INTEGER
The order of the matrix A. N >= 0.

KL

KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.

KU

KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.

AB

AB is DOUBLE PRECISION array, dimension (LDAB,N)
Details of the LU factorization of the band matrix A, as
computed by DGBTRF. 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

LDAB is INTEGER
The leading dimension of the array AB. LDAB >= 2*KL+KU+1.

IPIV

IPIV is INTEGER array, dimension (N)
The pivot indices; for 1 <= i <= N, row i of the matrix was
interchanged with row IPIV(i).

B

B is DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the right hand side matrix B.
On exit, the solution matrix X.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

INFO

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine sgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, real, dimension( ldab, * ) ab, integer ldab, integer,dimension( * ) ipiv, real, dimension( ldb, * ) b, integer ldb, integerinfo)

SGBTRS

Purpose:

SGBTRS solves a system of linear equations
A * X = B or A**T * X = B
with a general band matrix A using the LU factorization computed
by SGBTRF.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the form of the system of equations.
= ’N’: A * X = B (No transpose)
= ’T’: A**T* X = B (Transpose)
= ’C’: A**T* X = B (Conjugate transpose = Transpose)

N

N is INTEGER
The order of the matrix A. N >= 0.

KL

KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.

KU

KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.

AB

AB is REAL array, dimension (LDAB,N)
Details of the LU factorization of the band matrix A, as
computed by SGBTRF. 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

LDAB is INTEGER
The leading dimension of the array AB. LDAB >= 2*KL+KU+1.

IPIV

IPIV is INTEGER array, dimension (N)
The pivot indices; for 1 <= i <= N, row i of the matrix was
interchanged with row IPIV(i).

B

B is REAL array, dimension (LDB,NRHS)
On entry, the right hand side matrix B.
On exit, the solution matrix X.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

INFO

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zgbtrs (character trans, integer n, integer kl, integer ku,integer nrhs, complex*16, dimension( ldab, * ) ab, integer ldab,integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b,integer ldb, integer info)

ZGBTRS

Purpose:

ZGBTRS 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 ZGBTRF.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the form of the system of equations.
= ’N’: A * X = B (No transpose)
= ’T’: A**T * X = B (Transpose)
= ’C’: A**H * X = B (Conjugate transpose)

N

N is INTEGER
The order of the matrix A. N >= 0.

KL

KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.

KU

KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.

AB

AB is COMPLEX*16 array, dimension (LDAB,N)
Details of the LU factorization of the band matrix A, as
computed by ZGBTRF. 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

LDAB is INTEGER
The leading dimension of the array AB. LDAB >= 2*KL+KU+1.

IPIV

IPIV is INTEGER array, dimension (N)
The pivot indices; for 1 <= i <= N, row i of the matrix was
interchanged with row IPIV(i).

B

B is COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the right hand side matrix B.
On exit, the solution matrix X.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

INFO

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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