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Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :

ISBN : 978-2-7460-9712-4
EAN : 9782746097124
(Editions ENI)

GNU/Linux	CentOS 4.8	i386
	dtptri(l)

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DTPTRI

NAME
SYNOPSIS
PURPOSE
ARGUMENTS
FURTHER DETAILS

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NAME

DTPTRI - compute the inverse of a real upper or lower triangular matrix A stored in packed format

SYNOPSIS

	SUBROUTINE DTPTRI(		UPLO, DIAG, N, AP, INFO )
	CHARACTER		DIAG, UPLO
	INTEGER		INFO, N
	DOUBLE		PRECISION AP( * )

PURPOSE

DTPTRI computes the inverse of a real upper or lower triangular matrix A stored in packed format.

ARGUMENTS

UPLO (input) CHARACTER*1

= ’U’: A is upper triangular;
= ’L’: A is lower triangular.

DIAG (input) CHARACTER*1

= ’N’: A is non-unit triangular;
= ’U’: A is unit triangular.

N (input) INTEGER

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

AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2)

On entry, the upper or lower triangular matrix A, stored columnwise in a linear array. The j-th column of A is stored in the array AP as follows: if UPLO = ’U’, AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = ’L’, AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n. See below for further details. On exit, the (triangular) inverse of the original matrix, in the same packed storage format.

INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

FURTHER DETAILS

A triangular matrix A can be transferred to packed storage using one of the following program segments:

UPLO = ’U’: UPLO = ’L’:

JC = 1 JC = 1
DO 2 J = 1, N DO 2 J = 1, N
DO 1 I = 1, J DO 1 I = J, N
AP(JC+I-1) = A(I,J) AP(JC+I-J) = A(I,J)
1 CONTINUE 1 CONTINUE
JC = JC + J JC = JC + N - J + 1
2 CONTINUE 2 CONTINUE

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dtptri(l)