TESTING/EIG/sstt21.f(3) | Library Functions Manual | TESTING/EIG/sstt21.f(3) |
NAME
TESTING/EIG/sstt21.f
SYNOPSIS
Functions/Subroutines
subroutine sstt21 (n, kband, ad, ae, sd, se, u, ldu, work,
result)
SSTT21
Function/Subroutine Documentation
subroutine sstt21 (integer n, integer kband, real, dimension( * ) ad, real, dimension( * ) ae, real, dimension( * ) sd, real, dimension( * ) se, real, dimension( ldu, * ) u, integer ldu, real, dimension( * ) work, real, dimension( 2 ) result)
SSTT21
Purpose:
SSTT21 checks a decomposition of the form A = U S U' where ' means transpose, A is symmetric tridiagonal, U is orthogonal, and S is diagonal (if KBAND=0) or symmetric tridiagonal (if KBAND=1). Two tests are performed: RESULT(1) = | A - U S U' | / ( |A| n ulp ) RESULT(2) = | I - UU' | / ( n ulp )
Parameters
N
N is INTEGER The size of the matrix. If it is zero, SSTT21 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 symmetric tri-diagonal.
AD
AD is REAL array, dimension (N) The diagonal of the original (unfactored) matrix A. A is assumed to be symmetric tridiagonal.
AE
AE is REAL array, dimension (N-1) The off-diagonal of the original (unfactored) matrix A. A is assumed to be symmetric tridiagonal. AE(1) is the (1,2) and (2,1) element, AE(2) is the (2,3) and (3,2) element, etc.
SD
SD is REAL array, dimension (N) The diagonal of the (symmetric tri-) diagonal matrix S.
SE
SE is REAL array, dimension (N-1) The off-diagonal of the (symmetric tri-) diagonal matrix S. Not referenced if KBSND=0. If KBAND=1, then AE(1) is the (1,2) and (2,1) element, SE(2) is the (2,3) and (3,2) element, etc.
U
U is REAL array, dimension (LDU, N) The orthogonal matrix in the decomposition.
LDU
LDU is INTEGER The leading dimension of U. LDU must be at least N.
WORK
WORK is REAL array, dimension (N*(N+1))
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. RESULT(1) is always modified.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 125 of file sstt21.f.
Author
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