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Full Discussion: Randomize a matrix
Top Forums Shell Programming and Scripting Randomize a matrix Post 302741597 by bakunin on Sunday 9th of December 2012 09:42:32 AM
Old 12-09-2012
This is probably not as easy as it sounds. You only have 0 and 1 as elements and a fixed number of 1s in every row and column as a further limiting factors. The number of possible permutations is well below 1000 - for a single 4-element field for example it is:

4 with 1 1-field
6 with 2 1-fields
4 with 3 1-fields
1 with 4 1-fields

This is probably solvable with the same sort of algorithm as the "8-queens-problem" (for which there are also only 96 distinct solutions and even of these 3/4 of them are axial- and/or mirror-symmetrical variants).

I hope this helps.

bakunin
 

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clag2z.f(3)							      LAPACK							       clag2z.f(3)

NAME
clag2z.f - SYNOPSIS
Functions/Subroutines subroutine clag2z (M, N, SA, LDSA, A, LDA, INFO) CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Function/Subroutine Documentation subroutine clag2z (integerM, integerN, complex, dimension( ldsa, * )SA, integerLDSA, complex*16, dimension( lda, * )A, integerLDA, integerINFO) CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Purpose: CLAG2Z converts a COMPLEX matrix, SA, to a COMPLEX*16 matrix, A. Note that while it is possible to overflow while converting from double to single, it is not possible to overflow when converting from single to double. This is an auxiliary routine so there is no argument checking. Parameters: M M is INTEGER The number of lines of the matrix A. M >= 0. N N is INTEGER The number of columns of the matrix A. N >= 0. SA SA is COMPLEX array, dimension (LDSA,N) On entry, the M-by-N coefficient matrix SA. LDSA LDSA is INTEGER The leading dimension of the array SA. LDSA >= max(1,M). A A is COMPLEX*16 array, dimension (LDA,N) On exit, the M-by-N coefficient matrix A. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). INFO INFO is INTEGER = 0: successful exit Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 104 of file clag2z.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.2 Tue Sep 25 2012 clag2z.f(3)
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