TESTING/LIN/stbt02.f(3) | Library Functions Manual | TESTING/LIN/stbt02.f(3) |
NAME
TESTING/LIN/stbt02.f
SYNOPSIS
Functions/Subroutines
subroutine stbt02 (uplo, trans, diag, n, kd, nrhs, ab,
ldab, x, ldx, b, ldb, work, resid)
STBT02
Function/Subroutine Documentation
subroutine stbt02 (character uplo, character trans, character diag, integer n, integer kd, integer nrhs, real, dimension( ldab, * ) ab, integer ldab, real, dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, real resid)
STBT02
Purpose:
STBT02 computes the residual for the computed solution to a triangular system of linear equations op(A)*X = B, when A is a triangular band 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.
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.
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 152 of file stbt02.f.
Author
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