cget51.f - Man Page
TESTING/EIG/cget51.f
Synopsis
Functions/Subroutines
subroutine cget51 (itype, n, a, lda, b, ldb, u, ldu, v, ldv, work, rwork, result)
CGET51
Function/Subroutine Documentation
subroutine cget51 (integer itype, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( ldu, * ) u, integer ldu, complex, dimension( ldv, * ) v, integer ldv, complex, dimension( * ) work, real, dimension( * ) rwork, real result)
CGET51
Purpose:
CGET51 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, CGET51 does nothing. It must be at least zero.
A
A is COMPLEX 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 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 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 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 array, dimension (2*N**2)
RWORK
RWORK is REAL array, dimension (N)
RESULT
RESULT is REAL 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 cget51.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page cget51(3) is an alias of cget51.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK