NAME

TESTING/LIN/sqrt15.f

SYNOPSIS

Functions/Subroutines

subroutine sqrt15 (scale, rksel, m, n, nrhs, a, lda, b, ldb, s, rank, norma, normb, iseed, work, lwork)
SQRT15

Function/Subroutine Documentation

subroutine sqrt15 (integer scale, integer rksel, integer m, integer n, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) s, integer rank, real norma, real normb, integer, dimension( 4 ) iseed, real, dimension( lwork ) work, integer lwork)

SQRT15

Purpose:



 SQRT15 generates a matrix with full or deficient rank and of various


 norms.

Parameters

SCALE



          SCALE is INTEGER


          SCALE = 1: normally scaled matrix


          SCALE = 2: matrix scaled up


          SCALE = 3: matrix scaled down

RKSEL



          RKSEL is INTEGER


          RKSEL = 1: full rank matrix


          RKSEL = 2: rank-deficient matrix



          M is INTEGER


          The number of rows of the matrix A.



          N is INTEGER


          The number of columns of A.

NRHS



          NRHS is INTEGER


          The number of columns of B.



          A is REAL array, dimension (LDA,N)


          The M-by-N matrix A.

LDA



          LDA is INTEGER


          The leading dimension of the array A.



          B is REAL array, dimension (LDB, NRHS)


          A matrix that is in the range space of matrix A.

LDB



          LDB is INTEGER


          The leading dimension of the array B.



          S is REAL array, dimension MIN(M,N)


          Singular values of A.

RANK



          RANK is INTEGER


          number of nonzero singular values of A.

NORMA



          NORMA is REAL


          one-norm of A.

NORMB



          NORMB is REAL


          one-norm of B.

ISEED



          ISEED is integer array, dimension (4)


          seed for random number generator.

WORK



          WORK is REAL array, dimension (LWORK)

LWORK



          LWORK is INTEGER


          length of work space required.


          LWORK >= MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 146 of file sqrt15.f.

Author

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