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Full Discussion: Lower triangular matrix
Top Forums Shell Programming and Scripting Lower triangular matrix Post 302742215 by iconig on Monday 10th of December 2012 07:21:42 PM
Old 12-10-2012
Lower triangular matrix

Hi,
I was wondering if there is a way of using awk to extract the lower or upper triangular matrix from a symmetric matrix. Say I have this matrix:
$ cat data:
Code:
1 0 9 6 7 9
0 8 2 8 9 0
9 2 6 9 4 3
6 8 9 6 9 4
7 9 4 9 9 7
9 0 3 4 7 9

I am trying to do two things.
Result 1:

Code:
0 9 2 6 8 9 7 9 4 9 9 0 3 4 7

Result 2:
Code:
1 0 8 9 2 6 6 8 9 6 7 9 4 9 9 9 0 3 4 7 9

Result 1 has only the lower triangular without the diagonal while result 2 has the lower triangular and the diagonal.

Thanks.
 

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DTRTI2(l)								 )								 DTRTI2(l)

NAME
DTRTI2 - compute the inverse of a real upper or lower triangular matrix SYNOPSIS
SUBROUTINE DTRTI2( UPLO, DIAG, N, A, LDA, INFO ) CHARACTER DIAG, UPLO INTEGER INFO, LDA, N DOUBLE PRECISION A( LDA, * ) PURPOSE
DTRTI2 computes the inverse of a real upper or lower triangular matrix. This is the Level 2 BLAS version of the algorithm. ARGUMENTS
UPLO (input) CHARACTER*1 Specifies whether the matrix A is upper or lower triangular. = 'U': Upper triangular = 'L': Lower triangular DIAG (input) CHARACTER*1 Specifies whether or not the matrix A is unit triangular. = 'N': Non-unit triangular = 'U': Unit triangular N (input) INTEGER The order of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = 'U', the leading n by n upper triangular part of the array A contains the upper tri- angular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value LAPACK version 3.0 15 June 2000 DTRTI2(l)
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