Man page - pptri(3)

Packages contains this manual

Package: liblapack-doc
apt-get install liblapack-doc

Manuals in package:

Documentations in package:

Manual

pptri

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cpptri (character uplo, integer n, complex, dimension( * ) ap,integer info)
subroutine dpptri (character uplo, integer n, double precision, dimension(* ) ap, integer info)
subroutine spptri (character uplo, integer n, real, dimension( * ) ap,integer info)
subroutine zpptri (character uplo, integer n, complex*16, dimension( * )ap, integer info)
Author

NAME

pptri - pptri: triangular inverse

SYNOPSIS

Functions

subroutine cpptri (uplo, n, ap, info)
CPPTRI
subroutine dpptri (uplo, n, ap, info)
DPPTRI
subroutine spptri (uplo, n, ap, info)
SPPTRI
subroutine zpptri (uplo, n, ap, info)
ZPPTRI

Detailed Description

Function Documentation

subroutine cpptri (character uplo, integer n, complex, dimension( * ) ap,integer info)

CPPTRI

Purpose:

CPPTRI computes the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by CPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangular factor is stored in AP;
= ’L’: Lower triangular factor is stored in AP.

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

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

On exit, the upper or lower triangle of the (Hermitian)
inverse of A, overwriting the input factor U or L.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the (i,i) element of the factor U or L is
zero, and the inverse could not be computed.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dpptri (character uplo, integer n, double precision, dimension(* ) ap, integer info)

DPPTRI

Purpose:

DPPTRI computes the inverse of a real symmetric positive definite
matrix A using the Cholesky factorization A = U**T*U or A = L*L**T
computed by DPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangular factor is stored in AP;
= ’L’: Lower triangular factor is stored in AP.

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

AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T, packed columnwise as
a linear array. The j-th column of U or L is stored in the
array AP as follows:
if UPLO = ’U’, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ’L’, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

On exit, the upper or lower triangle of the (symmetric)
inverse of A, overwriting the input factor U or L.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the (i,i) element of the factor U or L is
zero, and the inverse could not be computed.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine spptri (character uplo, integer n, real, dimension( * ) ap,integer info)

SPPTRI

Purpose:

SPPTRI computes the inverse of a real symmetric positive definite
matrix A using the Cholesky factorization A = U**T*U or A = L*L**T
computed by SPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangular factor is stored in AP;
= ’L’: Lower triangular factor is stored in AP.

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

AP is REAL array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky
factorization A = U**T*U or A = L*L**T, packed columnwise as
a linear array. The j-th column of U or L is stored in the
array AP as follows:
if UPLO = ’U’, AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = ’L’, AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

On exit, the upper or lower triangle of the (symmetric)
inverse of A, overwriting the input factor U or L.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the (i,i) element of the factor U or L is
zero, and the inverse could not be computed.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zpptri (character uplo, integer n, complex16, dimension( )ap, integer info)

ZPPTRI

Purpose:

ZPPTRI computes the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by ZPPTRF.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangular factor is stored in AP;
= ’L’: Lower triangular factor is stored in AP.

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

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

On exit, the upper or lower triangle of the (Hermitian)
inverse of A, overwriting the input factor U or L.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the (i,i) element of the factor U or L is
zero, and the inverse could not be computed.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

Generated automatically by Doxygen for LAPACK from the source code.