Man page - pptrs(3)

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Manual

pptrs

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cpptrs (character uplo, integer n, integer nrhs, complex,dimension( * ) ap, complex, dimension( ldb, * ) b, integer ldb, integerinfo)
subroutine dpptrs (character uplo, integer n, integer nrhs, doubleprecision, dimension( * ) ap, double precision, dimension( ldb, * ) b,integer ldb, integer info)
subroutine spptrs (character uplo, integer n, integer nrhs, real,dimension( * ) ap, real, dimension( ldb, * ) b, integer ldb, integerinfo)
subroutine zpptrs (character uplo, integer n, integer nrhs, complex*16,dimension( * ) ap, complex*16, dimension( ldb, * ) b, integer ldb,integer info)
Author

NAME

pptrs - pptrs: triangular solve using factor

SYNOPSIS

Functions

subroutine cpptrs (uplo, n, nrhs, ap, b, ldb, info)
CPPTRS
subroutine dpptrs (uplo, n, nrhs, ap, b, ldb, info)
DPPTRS
subroutine spptrs (uplo, n, nrhs, ap, b, ldb, info)
SPPTRS
subroutine zpptrs (uplo, n, nrhs, ap, b, ldb, info)
ZPPTRS

Detailed Description

Function Documentation

subroutine cpptrs (character uplo, integer n, integer nrhs, complex,dimension( * ) ap, complex, dimension( ldb, * ) b, integer ldb, integerinfo)

CPPTRS

Purpose:

CPPTRS solves a system of linear equations A*X = B with a Hermitian
positive definite matrix A in packed storage using the Cholesky
factorization A = U**H*U or A = L*L**H computed by CPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

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

NRHS

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

AP

AP is COMPLEX array, dimension (N*(N+1)/2)
The triangular factor U or L from the Cholesky factorization
A = U**H*U or A = L*L**H, packed columnwise in a linear
array. The j-th column of U or L is stored in the array AP
as follows:
if UPLO = ā€™Uā€™, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ā€™Lā€™, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

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 dpptrs (character uplo, integer n, integer nrhs, doubleprecision, dimension( * ) ap, double precision, dimension( ldb, * ) b,integer ldb, integer info)

DPPTRS

Purpose:

DPPTRS solves a system of linear equations A*X = B with a symmetric
positive definite matrix A in packed storage using the Cholesky
factorization A = U**T*U or A = L*L**T computed by DPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

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

NRHS

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

AP

AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, packed columnwise in a linear
array. The j-th column of U or L is stored in the array AP
as follows:
if UPLO = ā€™Uā€™, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ā€™Lā€™, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

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 spptrs (character uplo, integer n, integer nrhs, real,dimension( * ) ap, real, dimension( ldb, * ) b, integer ldb, integerinfo)

SPPTRS

Purpose:

SPPTRS solves a system of linear equations A*X = B with a symmetric
positive definite matrix A in packed storage using the Cholesky
factorization A = U**T*U or A = L*L**T computed by SPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

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

NRHS

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

AP

AP is REAL array, dimension (N*(N+1)/2)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, packed columnwise in a linear
array. The j-th column of U or L is stored in the array AP
as follows:
if UPLO = ā€™Uā€™, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ā€™Lā€™, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

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 zpptrs (character uplo, integer n, integer nrhs, complex*16,dimension( * ) ap, complex*16, dimension( ldb, * ) b, integer ldb,integer info)

ZPPTRS

Purpose:

ZPPTRS solves a system of linear equations A*X = B with a Hermitian
positive definite matrix A in packed storage using the Cholesky
factorization A = U**H * U or A = L * L**H computed by ZPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

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

NRHS

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

AP

AP is COMPLEX*16 array, dimension (N*(N+1)/2)
The triangular factor U or L from the Cholesky factorization
A = U**H * U or A = L * L**H, packed columnwise in a linear
array. The j-th column of U or L is stored in the array AP
as follows:
if UPLO = ā€™Uā€™, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ā€™Lā€™, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

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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