table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dgtt05.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dgtt05.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dgtt05.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DGTT05 (trans, n, nrhs, dl, d, du, b, ldb, x,
ldx, xact, ldxact, ferr, berr, reslts)
DGTT05
Function/Subroutine Documentation¶
subroutine DGTT05 (character trans, integer n, integer nrhs, double precision, dimension( * ) dl, double precision, dimension( * ) d, double precision, dimension( * ) du, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( ldx, * ) x, integer ldx, double precision, dimension( ldxact, * ) xact, integer ldxact, double precision, dimension( * ) ferr, double precision, dimension( * ) berr, double precision, dimension( * ) reslts)¶
DGTT05
Purpose:
!> !> DGTT05 tests the error bounds from iterative refinement for the !> computed solution to a system of equations A*X = B, where A is a !> general tridiagonal matrix of order n and op(A) = A or A**T, !> depending on TRANS. !> !> RESLTS(1) = test of the error bound !> = norm(X - XACT) / ( norm(X) * FERR ) !> !> A large value is returned if this ratio is not less than one. !> !> RESLTS(2) = residual from the iterative refinement routine !> = the maximum of BERR / ( NZ*EPS + (*) ), where !> (*) = NZ*UNFL / (min_i (abs(op(A))*abs(X) +abs(b))_i ) !> and NZ = max. number of nonzeros in any row of A, plus 1 !>
Parameters
TRANS
!> TRANS is CHARACTER*1 !> Specifies the form of the system of equations. !> = 'N': A * X = B (No transpose) !> = 'T': A**T * X = B (Transpose) !> = 'C': A**H * X = B (Conjugate transpose = Transpose) !>
N
!> N is INTEGER !> The number of rows of the matrices X and XACT. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of columns of the matrices X and XACT. NRHS >= 0. !>
DL
!> DL is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) sub-diagonal elements of A. !>
D
!> D is DOUBLE PRECISION array, dimension (N) !> The diagonal elements of A. !>
DU
!> DU is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) super-diagonal elements of A. !>
B
!> B is DOUBLE PRECISION 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). !>
X
!> X is DOUBLE PRECISION array, dimension (LDX,NRHS) !> The computed solution vectors. Each vector is stored as a !> column of the matrix X. !>
LDX
!> LDX is INTEGER !> The leading dimension of the array X. LDX >= max(1,N). !>
XACT
!> XACT is DOUBLE PRECISION array, dimension (LDX,NRHS) !> The exact solution vectors. Each vector is stored as a !> column of the matrix XACT. !>
LDXACT
!> LDXACT is INTEGER !> The leading dimension of the array XACT. LDXACT >= max(1,N). !>
FERR
!> FERR is DOUBLE PRECISION array, dimension (NRHS) !> The estimated forward error bounds for each solution vector !> X. If XTRUE is the true solution, FERR bounds the magnitude !> of the largest entry in (X - XTRUE) divided by the magnitude !> of the largest entry in X. !>
BERR
!> BERR is DOUBLE PRECISION array, dimension (NRHS) !> The componentwise relative backward error of each solution !> vector (i.e., the smallest relative change in any entry of A !> or B that makes X an exact solution). !>
RESLTS
!> RESLTS is DOUBLE PRECISION array, dimension (2) !> The maximum over the NRHS solution vectors of the ratios: !> RESLTS(1) = norm(X - XACT) / ( norm(X) * FERR ) !> RESLTS(2) = BERR / ( NZ*EPS + (*) ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 163 of file dgtt05.f.
Author¶
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