TESTING/EIG/zget51.f(3) | Library Functions Manual | TESTING/EIG/zget51.f(3) |
NAME
TESTING/EIG/zget51.f
SYNOPSIS
Functions/Subroutines
subroutine zget51 (itype, n, a, lda, b, ldb, u, ldu, v,
ldv, work, rwork, result)
ZGET51
Function/Subroutine Documentation
subroutine zget51 (integer itype, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension( * ) work, double precision, dimension( * ) rwork, double precision result)
ZGET51
Purpose:
ZGET51 generally checks a decomposition of the form A = U B V**H where **H means conjugate transpose and U and V are unitary. Specifically, if ITYPE=1 RESULT = | A - U B V**H | / ( |A| n ulp ) If ITYPE=2, then: RESULT = | A - B | / ( |A| n ulp ) If ITYPE=3, then: RESULT = | I - U U**H | / ( n ulp )
Parameters
ITYPE
ITYPE is INTEGER Specifies the type of tests to be performed. =1: RESULT = | A - U B V**H | / ( |A| n ulp ) =2: RESULT = | A - B | / ( |A| n ulp ) =3: RESULT = | I - U U**H | / ( n ulp )
N
N is INTEGER The size of the matrix. If it is zero, ZGET51 does nothing. It must be at least zero.
A
A is COMPLEX*16 array, dimension (LDA, N) The original (unfactored) matrix.
LDA
LDA is INTEGER The leading dimension of A. It must be at least 1 and at least N.
B
B is COMPLEX*16 array, dimension (LDB, N) The factored matrix.
LDB
LDB is INTEGER The leading dimension of B. It must be at least 1 and at least N.
U
U is COMPLEX*16 array, dimension (LDU, N) The unitary matrix on the left-hand side in the decomposition. Not referenced if ITYPE=2
LDU
LDU is INTEGER The leading dimension of U. LDU must be at least N and at least 1.
V
V is COMPLEX*16 array, dimension (LDV, N) The unitary matrix on the left-hand side in the decomposition. Not referenced if ITYPE=2
LDV
LDV is INTEGER The leading dimension of V. LDV must be at least N and at least 1.
WORK
WORK is COMPLEX*16 array, dimension (2*N**2)
RWORK
RWORK is DOUBLE PRECISION array, dimension (N)
RESULT
RESULT is DOUBLE PRECISION The values computed by the test specified by ITYPE. The value is currently limited to 1/ulp, to avoid overflow. Errors are flagged by RESULT=10/ulp.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 153 of file zget51.f.
Author
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