TESTING/EIG/zunt03.f(3) | Library Functions Manual | TESTING/EIG/zunt03.f(3) |
NAME
TESTING/EIG/zunt03.f
SYNOPSIS
Functions/Subroutines
subroutine zunt03 (rc, mu, mv, n, k, u, ldu, v, ldv, work,
lwork, rwork, result, info)
ZUNT03
Function/Subroutine Documentation
subroutine zunt03 (character*( * ) rc, integer mu, integer mv, integer n, integer k, complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension( * ) work, integer lwork, double precision, dimension( * ) rwork, double precision result, integer info)
ZUNT03
Purpose:
ZUNT03 compares two unitary matrices U and V to see if their corresponding rows or columns span the same spaces. The rows are checked if RC = 'R', and the columns are checked if RC = 'C'. RESULT is the maximum of | V*V' - I | / ( MV ulp ), if RC = 'R', or | V'*V - I | / ( MV ulp ), if RC = 'C', and the maximum over rows (or columns) 1 to K of | U(i) - S*V(i) |/ ( N ulp ) where abs(S) = 1 (chosen to minimize the expression), U(i) is the i-th row (column) of U, and V(i) is the i-th row (column) of V.
Parameters
RC
RC is CHARACTER*1 If RC = 'R' the rows of U and V are to be compared. If RC = 'C' the columns of U and V are to be compared.
MU
MU is INTEGER The number of rows of U if RC = 'R', and the number of columns if RC = 'C'. If MU = 0 ZUNT03 does nothing. MU must be at least zero.
MV
MV is INTEGER The number of rows of V if RC = 'R', and the number of columns if RC = 'C'. If MV = 0 ZUNT03 does nothing. MV must be at least zero.
N
N is INTEGER If RC = 'R', the number of columns in the matrices U and V, and if RC = 'C', the number of rows in U and V. If N = 0 ZUNT03 does nothing. N must be at least zero.
K
K is INTEGER The number of rows or columns of U and V to compare. 0 <= K <= max(MU,MV).
U
U is COMPLEX*16 array, dimension (LDU,N) The first matrix to compare. If RC = 'R', U is MU by N, and if RC = 'C', U is N by MU.
LDU
LDU is INTEGER The leading dimension of U. If RC = 'R', LDU >= max(1,MU), and if RC = 'C', LDU >= max(1,N).
V
V is COMPLEX*16 array, dimension (LDV,N) The second matrix to compare. If RC = 'R', V is MV by N, and if RC = 'C', V is N by MV.
LDV
LDV is INTEGER The leading dimension of V. If RC = 'R', LDV >= max(1,MV), and if RC = 'C', LDV >= max(1,N).
WORK
WORK is COMPLEX*16 array, dimension (LWORK)
LWORK
LWORK is INTEGER The length of the array WORK. For best performance, LWORK should be at least N*N if RC = 'C' or M*M if RC = 'R', but the tests will be done even if LWORK is 0.
RWORK
RWORK is DOUBLE PRECISION array, dimension (max(MV,N))
RESULT
RESULT is DOUBLE PRECISION The value computed by the test described above. RESULT is limited to 1/ulp to avoid overflow.
INFO
INFO is INTEGER 0 indicates a successful exit -k indicates the k-th parameter had an illegal value
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 160 of file zunt03.f.
Author
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