table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chbt21.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chbt21.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chbt21.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CHBT21 (uplo, n, ka, ks, a, lda, d, e, u, ldu,
work, rwork, result)
CHBT21
Function/Subroutine Documentation¶
subroutine CHBT21 (character uplo, integer n, integer ka, integer ks, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) d, real, dimension( * ) e, complex, dimension( ldu, * ) u, integer ldu, complex, dimension( * ) work, real, dimension( * ) rwork, real, dimension( 2 ) result)¶
CHBT21
Purpose:
!> !> CHBT21 generally checks a decomposition of the form !> !> A = U S U**H !> !> where **H means conjugate transpose, A is hermitian banded, U is !> unitary, and S is diagonal (if KS=0) or symmetric !> tridiagonal (if KS=1). !> !> Specifically: !> !> RESULT(1) = | A - U S U**H | / ( |A| n ulp ) and !> RESULT(2) = | I - U U**H | / ( n ulp ) !>
Parameters
UPLO
!> UPLO is CHARACTER !> If UPLO='U', the upper triangle of A and V will be used and !> the (strictly) lower triangle will not be referenced. !> If UPLO='L', the lower triangle of A and V will be used and !> the (strictly) upper triangle will not be referenced. !>
N
!> N is INTEGER !> The size of the matrix. If it is zero, CHBT21 does nothing. !> It must be at least zero. !>
KA
!> KA is INTEGER !> The bandwidth of the matrix A. It must be at least zero. If !> it is larger than N-1, then max( 0, N-1 ) will be used. !>
KS
!> KS is INTEGER !> The bandwidth of the matrix S. It may only be zero or one. !> If zero, then S is diagonal, and E is not referenced. If !> one, then S is symmetric tri-diagonal. !>
A
!> A is COMPLEX array, dimension (LDA, N) !> The original (unfactored) matrix. It is assumed to be !> hermitian, and only the upper (UPLO='U') or only the lower !> (UPLO='L') will be referenced. !>
LDA
!> LDA is INTEGER !> The leading dimension of A. It must be at least 1 !> and at least min( KA, N-1 ). !>
D
!> D is REAL array, dimension (N) !> The diagonal of the (symmetric tri-) diagonal matrix S. !>
E
!> E is REAL array, dimension (N-1) !> The off-diagonal of the (symmetric tri-) diagonal matrix S. !> E(1) is the (1,2) and (2,1) element, E(2) is the (2,3) and !> (3,2) element, etc. !> Not referenced if KS=0. !>
U
!> U is COMPLEX array, dimension (LDU, N) !> The unitary matrix in the decomposition, expressed as a !> dense matrix (i.e., not as a product of Householder !> transformations, Givens transformations, etc.) !>
LDU
!> LDU is INTEGER !> The leading dimension of U. LDU must be at least N and !> at least 1. !>
WORK
!> WORK is COMPLEX array, dimension (N**2) !>
RWORK
!> RWORK is REAL array, dimension (N) !>
RESULT
!> RESULT is REAL array, dimension (2) !> The values computed by the two tests described above. The !> values are currently limited to 1/ulp, to avoid overflow. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 150 of file chbt21.f.
Author¶
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Version 3.12.0 | LAPACK |