table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/stbt03.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/stbt03.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/stbt03.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine STBT03 (uplo, trans, diag, n, kd, nrhs, ab,
ldab, scale, cnorm, tscal, x, ldx, b, ldb, work, resid)
STBT03
Function/Subroutine Documentation¶
subroutine STBT03 (character uplo, character trans, character diag, integer n, integer kd, integer nrhs, real, dimension( ldab, * ) ab, integer ldab, real scale, real, dimension( * ) cnorm, real tscal, real, dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, real resid)¶
STBT03
Purpose:
!> !> STBT03 computes the residual for the solution to a scaled triangular !> system of equations A*x = s*b or A'*x = s*b when A is a !> triangular band matrix. Here A' is the transpose of A, s is a scalar, !> and x and b are N by NRHS matrices. The test ratio is the maximum !> over the number of right hand sides of !> norm(s*b - op(A)*x) / ( norm(op(A)) * norm(x) * EPS ), !> where op(A) denotes A or A' and EPS is the machine epsilon. !>
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'*x = b (Transpose) !> = 'C': A'*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. !>
KD
!> KD is INTEGER !> The number of superdiagonals or subdiagonals of the !> triangular band matrix A. KD >= 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. !>
AB
!> AB is REAL array, dimension (LDAB,N) !> The upper or lower triangular band matrix A, stored in the !> first kd+1 rows of the array. The j-th column of A is stored !> in the j-th column of the array AB as follows: !> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; !> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). !>
LDAB
!> LDAB is INTEGER !> The leading dimension of the array AB. LDAB >= KD+1. !>
SCALE
!> SCALE is REAL !> The scaling factor s used in solving the triangular system. !>
CNORM
!> CNORM is REAL array, dimension (N) !> The 1-norms of the columns of A, not counting the diagonal. !>
TSCAL
!> TSCAL is REAL !> The scaling factor used in computing the 1-norms in CNORM. !> CNORM actually contains the column norms of TSCAL*A. !>
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 - s*b) / ( norm(op(A)) * norm(x) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 172 of file stbt03.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |