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TESTING/LIN/ztpt02.f(3) LAPACK TESTING/LIN/ztpt02.f(3)

TESTING/LIN/ztpt02.f


subroutine ztpt02 (uplo, trans, diag, n, nrhs, ap, x, ldx, b, ldb, work, rwork, resid)
ZTPT02

ZTPT02

Purpose:


ZTPT02 computes the residual for the computed solution to a
triangular system of linear equations op(A)*X = B, when the
triangular matrix A is stored in packed format. The test ratio is
the maximum over
norm(b - op(A)*x) / ( ||op(A)||_1 * norm(x) * EPS ),
where op(A) = A, A**T, or A**H, b is the column of B, x is the
solution vector, 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**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate 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.

AP


AP is COMPLEX*16 array, dimension (N*(N+1)/2)
The upper or lower triangular matrix A, packed columnwise in
a linear array. The j-th column of A is stored in the array
AP as follows:
if UPLO = 'U', AP((j-1)*j/2 + i) = A(i,j) for 1<=i<=j;
if UPLO = 'L',
AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for j<=i<=n.

X


X is COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 array, dimension (N)

RWORK


RWORK is DOUBLE PRECISION array, dimension (N)

RESID


RESID is DOUBLE PRECISION
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 145 of file ztpt02.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:35 Version 3.12.1

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