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DLAQSB(1) LAPACK auxiliary routine (version 3.2) DLAQSB(1)

NAME

DLAQSB - equilibrates a symmetric band matrix A using the scaling factors in the vector S

SYNOPSIS

UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED )

CHARACTER EQUED, UPLO INTEGER KD, LDAB, N DOUBLE PRECISION AMAX, SCOND DOUBLE PRECISION AB( LDAB, * ), S( * )

PURPOSE

DLAQSB equilibrates a symmetric band matrix A using the scaling factors in the vector S.

ARGUMENTS

Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = 'U': Upper triangular
= 'L': Lower triangular
The order of the matrix A. N >= 0.
The number of super-diagonals of the matrix A if UPLO = 'U', or the number of sub-diagonals if UPLO = 'L'. KD >= 0.
On entry, the upper or lower triangle of the symmetric band matrix A, stored in the first KD+1 rows of the array. The j-th column of A is stored in the j-th column of the array AB as follows: if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). On exit, if INFO = 0, the triangular factor U or L from the Cholesky factorization A = U'*U or A = L*L' of the band matrix A, in the same storage format as A.
The leading dimension of the array AB. LDAB >= KD+1.
The scale factors for A.
Ratio of the smallest S(i) to the largest S(i).
Absolute value of largest matrix entry.
Specifies whether or not equilibration was done. = 'N': No equilibration.
= 'Y': Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

PARAMETERS

THRESH is a threshold value used to decide if scaling should be done based on the ratio of the scaling factors. If SCOND < THRESH, scaling is done. LARGE and SMALL are threshold values used to decide if scaling should be done based on the absolute size of the largest matrix element. If AMAX > LARGE or AMAX < SMALL, scaling is done.

November 2008 LAPACK auxiliary routine (version 3.2)