TESTING/LIN/strt02.f(3)    Library Functions Manual    TESTING/LIN/strt02.f(3)

NAME
       TESTING/LIN/strt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine strt02 (uplo, trans, diag, n, nrhs, a, lda, x, ldx, b, ldb,
           work, resid)
           STRT02

Function/Subroutine Documentation
   subroutine strt02 (character uplo, character trans, character diag, integer
       n, integer nrhs, real, dimension( lda, * ) a, integer lda, real,
       dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b,
       integer ldb, real, dimension( * ) work, real resid)
       STRT02

       Purpose:


           !>
           !> STRT02 computes the residual for the computed solution to a
           !> triangular system of linear equations op(A)*X = B, where A is a
           !> triangular matrix. The test ratio is the maximum over
           !>    norm(b - op(A)*x) / ( ||op(A)||_1 * norm(x) * EPS ),
           !> where op(A) = A or A**T, b is the column of B, x is the solution
           !> vector, and EPS is the machine epsilon.
           !> The norm used is the 1-norm.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          Specifies whether the matrix A is upper or lower triangular.
           !>          = 'U':  Upper triangular
           !>          = 'L':  Lower triangular
           !>

           TRANS

           !>          TRANS is CHARACTER*1
           !>          Specifies the operation applied to A.
           !>          = 'N':  A    * X = B  (No transpose)
           !>          = 'T':  A**T * X = B  (Transpose)
           !>          = 'C':  A**H * X = B  (Conjugate transpose = Transpose)
           !>

           DIAG

           !>          DIAG is CHARACTER*1
           !>          Specifies whether or not the matrix A is unit triangular.
           !>          = 'N':  Non-unit triangular
           !>          = 'U':  Unit triangular
           !>

           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 matrices X and B.  NRHS >= 0.
           !>

           A

           !>          A is REAL array, dimension (LDA,N)
           !>          The triangular matrix A.  If UPLO = 'U', the leading n by n
           !>          upper triangular part of the array A contains the upper
           !>          triangular 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.
           !>

           LDA

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

           X

           !>          X is REAL array, dimension (LDX,NRHS)
           !>          The computed solution vectors for the system of linear
           !>          equations.
           !>

           LDX

           !>          LDX is INTEGER
           !>          The leading dimension of the array X.  LDX >= max(1,N).
           !>

           B

           !>          B is REAL array, dimension (LDB,NRHS)
           !>          The right hand side vectors for the system of linear
           !>          equations.
           !>

           LDB

           !>          LDB is INTEGER
           !>          The leading dimension of the array B.  LDB >= max(1,N).
           !>

           WORK

           !>          WORK is REAL array, dimension (N)
           !>

           RESID

           !>          RESID is REAL
           !>          The maximum over the number of right hand sides of
           !>          norm(op(A)*X - B) / ( norm(op(A)) * norm(X) * EPS ).
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 148 of file strt02.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/strt02.f(3)