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Top Forums Shell Programming and Scripting Maybe by AWK: printing help diagonal matrix characters into line Post 302801315 by rveri on Wednesday 1st of May 2013 11:15:11 PM
Old 05-02-2013
RudiC,
Thanks .. , Actually in the matrix there are all the name of the US states 'Capital cities' :
Example :
Code:
ATLANTA BOISE BOSTON CARSONCITY DENVER DOVER ....

etc , I am trying to figure out their location with awk. Horizontal and Verticals are easy to compute in the matrix. However I have posted for the diagonals help.

Not yet end up with a solution yet, but the diagonal iterations are bit difficult to allginwith ALLAR [NR-j+1,j] code , both diagonal way , the solution you have given is just one way , 3 more way need to figure out , so I am still figuring it out.

Thanks...

Last edited by rveri; 05-02-2013 at 12:21 AM..
 

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sgtsv.f(3)							      LAPACK								sgtsv.f(3)

NAME
sgtsv.f - SYNOPSIS
Functions/Subroutines subroutine sgtsv (N, NRHS, DL, D, DU, B, LDB, INFO) SGTSV Function/Subroutine Documentation subroutine sgtsv (integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( ldb, * )B, integerLDB, integerINFO) SGTSV Purpose: SGTSV solves the equation A*X = B, where A is an n by n tridiagonal matrix, by Gaussian elimination with partial pivoting. Note that the equation A**T*X = B may be solved by interchanging the order of the arguments DU and DL. Parameters: 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. DL DL is REAL array, dimension (N-1) On entry, DL must contain the (n-1) sub-diagonal elements of A. On exit, DL is overwritten by the (n-2) elements of the second super-diagonal of the upper triangular matrix U from the LU factorization of A, in DL(1), ..., DL(n-2). D D is REAL array, dimension (N) On entry, D must contain the diagonal elements of A. On exit, D is overwritten by the n diagonal elements of U. DU DU is REAL array, dimension (N-1) On entry, DU must contain the (n-1) super-diagonal elements of A. On exit, DU is overwritten by the (n-1) elements of the first super-diagonal of U. B B is REAL array, dimension (LDB,NRHS) On entry, the N by NRHS matrix of right hand side matrix B. On exit, if INFO = 0, the N by NRHS 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 > 0: if INFO = i, U(i,i) is exactly zero, and the solution has not been computed. The factorization has not been completed unless i = N. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 128 of file sgtsv.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 sgtsv.f(3)
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