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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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LEARN ABOUT CENTOS

spotf2

spotf2.f(3)							      LAPACK							       spotf2.f(3)

NAME

       spotf2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine spotf2 (UPLO, N, A, LDA, INFO)
	   SPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm).

Function/Subroutine Documentation
   subroutine spotf2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO)
       SPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm).

       Purpose:

	    SPOTF2 computes the Cholesky factorization of a real symmetric
	    positive definite matrix A.

	    The factorization has the form
	       A = U**T * U ,  if UPLO = 'U', or
	       A = L  * L**T,  if UPLO = 'L',
	    where U is an upper triangular matrix and L is lower triangular.

	    This is the unblocked version of the algorithm, calling Level 2 BLAS.

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		     Specifies whether the upper or lower triangular part of the
		     symmetric matrix A is stored.
		     = 'U':  Upper triangular
		     = 'L':  Lower triangular

	   N

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

	   A

		     A is REAL array, dimension (LDA,N)
		     On entry, the symmetric matrix A.	If UPLO = 'U', the leading
		     n by n upper triangular part of A contains the upper
		     triangular part of the matrix A, and the strictly lower
		     triangular part of A is not referenced.  If UPLO = 'L', the
		     leading n by n lower triangular part of A contains the lower
		     triangular part of the matrix A, and the strictly upper
		     triangular part of A is not referenced.

		     On exit, if INFO = 0, the factor U or L from the Cholesky
		     factorization A = U**T *U	or A = L*L**T.

	   LDA

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

	   INFO

		     INFO is INTEGER
		     = 0: successful exit
		     < 0: if INFO = -k, the k-th argument had an illegal value
		     > 0: if INFO = k, the leading minor of order k is not
			  positive definite, and the factorization could not be
			  completed.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 110 of file spotf2.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       spotf2.f(3)
All times are GMT -4. The time now is 03:36 PM.
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