.TH "dlaqsp.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME dlaqsp.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdlaqsp\fP (UPLO, N, AP, S, SCOND, AMAX, EQUED)" .br .RI "\fI\fBDLAQSP\fP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dlaqsp (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED)" .PP \fBDLAQSP\fP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ\&. .PP \fBPurpose: \fP .RS 4 .PP .nf DLAQSP equilibrates a symmetric matrix A using the scaling factors in the vector S. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A. N >= 0. .fi .PP .br \fIAP\fP .PP .nf AP is DOUBLE PRECISION array, dimension (N*(N+1)/2) On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. On exit, the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. .fi .PP .br \fIS\fP .PP .nf S is DOUBLE PRECISION array, dimension (N) The scale factors for A. .fi .PP .br \fISCOND\fP .PP .nf SCOND is DOUBLE PRECISION Ratio of the smallest S(i) to the largest S(i). .fi .PP .br \fIAMAX\fP .PP .nf AMAX is DOUBLE PRECISION Absolute value of largest matrix entry. .fi .PP .br \fIEQUED\fP .PP .nf EQUED is 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 = 'Y': Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S). .fi .PP .RE .PP \fBInternal Parameters: \fP .RS 4 .PP .nf 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. .fi .PP .RE .PP \fBAuthor:\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 September 2012 .RE .PP .PP Definition at line 126 of file dlaqsp\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.