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CLAQHE(l)) CLAQHE(l)CLAQHE - equilibrate a Hermitian matrix A using the scaling factors in the vector SNAMESUBROUTINE CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX, EQUED ) CHARACTER EQUED, UPLO INTEGER LDA, N REAL AMAX, SCOND REAL S( * ) COMPLEX A( LDA, * )SYNOPSISCLAQHE equilibrates a Hermitian matrix A using the scaling factors in the vector S.PURPOSEUPLO (input) CHARACTER*1 Specifies whether the upper or lower triangular part of the Hermitian matrix A is stored. = 'U': Upper triangular = 'L': Lower triangular N (input) INTEGER The order of the matrix A. N >= 0. A (input/output) COMPLEX array, dimension (LDA,N) On entry, the Hermitian matrix A. If UPLO = 'U', the leading n by n upper triangular part of A con- tains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of A contains the lower triangu- lar part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if EQUED = 'Y', the equilibrated matrix: diag(S) * A * diag(S). LDA (input) INTEGER The leading dimension of the array A. LDA >= max(N,1). S (input) REAL array, dimension (N) The scale factors for A. SCOND (input) REAL Ratio of the smallest S(i) to the largest S(i). AMAX (input) REAL Absolute value of largest matrix entry. EQUED (output) CHARACTER*1 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 = 'Y': Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).ARGUMENTSTHRESH is a threshold value used to decide if scaling should be done based on the ratio of the scaling fac- tors. 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.PARAMETERSLAPACK version 3.015 June 2000 CLAQHE(l)

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