table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zstt22.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zstt22.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zstt22.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZSTT22 (n, m, kband, ad, ae, sd, se, u, ldu,
work, ldwork, rwork, result)
ZSTT22
Function/Subroutine Documentation¶
subroutine ZSTT22 (integer n, integer m, integer kband, double precision, dimension( * ) ad, double precision, dimension( * ) ae, double precision, dimension( * ) sd, double precision, dimension( * ) se, complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension( ldwork, * ) work, integer ldwork, double precision, dimension( * ) rwork, double precision, dimension( 2 ) result)¶
ZSTT22
Purpose:
!> !> ZSTT22 checks a set of M eigenvalues and eigenvectors, !> !> A U = U S !> !> where A is Hermitian tridiagonal, the columns of U are unitary, !> and S is diagonal (if KBAND=0) or Hermitian tridiagonal (if KBAND=1). !> Two tests are performed: !> !> RESULT(1) = | U* A U - S | / ( |A| m ulp ) !> !> RESULT(2) = | I - U*U | / ( m ulp ) !>
Parameters
N
!> N is INTEGER !> The size of the matrix. If it is zero, ZSTT22 does nothing. !> It must be at least zero. !>
M
!> M is INTEGER !> The number of eigenpairs to check. If it is zero, ZSTT22 !> does nothing. It must be at least zero. !>
KBAND
!> KBAND is INTEGER !> The bandwidth of the matrix S. It may only be zero or one. !> If zero, then S is diagonal, and SE is not referenced. If !> one, then S is Hermitian tri-diagonal. !>
AD
!> AD is DOUBLE PRECISION array, dimension (N) !> The diagonal of the original (unfactored) matrix A. A is !> assumed to be Hermitian tridiagonal. !>
AE
!> AE is DOUBLE PRECISION array, dimension (N) !> The off-diagonal of the original (unfactored) matrix A. A !> is assumed to be Hermitian tridiagonal. AE(1) is ignored, !> AE(2) is the (1,2) and (2,1) element, etc. !>
SD
!> SD is DOUBLE PRECISION array, dimension (N) !> The diagonal of the (Hermitian tri-) diagonal matrix S. !>
SE
!> SE is DOUBLE PRECISION array, dimension (N) !> The off-diagonal of the (Hermitian tri-) diagonal matrix S. !> Not referenced if KBSND=0. If KBAND=1, then AE(1) is !> ignored, SE(2) is the (1,2) and (2,1) element, etc. !>
U
!> U is DOUBLE PRECISION array, dimension (LDU, N) !> The unitary matrix in the decomposition. !>
LDU
!> LDU is INTEGER !> The leading dimension of U. LDU must be at least N. !>
WORK
!> WORK is COMPLEX*16 array, dimension (LDWORK, M+1) !>
LDWORK
!> LDWORK is INTEGER !> The leading dimension of WORK. LDWORK must be at least !> max(1,M). !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESULT
!> RESULT is DOUBLE PRECISION 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 143 of file zstt22.f.
Author¶
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Version 3.12.0 | LAPACK |