.TH "laqge" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME laqge \- laqge: row/col scale matrix .SH SYNOPSIS .br .PP .SS "Functions" .in +1c .ti -1c .RI "subroutine \fBclaqge\fP (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)" .br .RI "\fBCLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. " .ti -1c .RI "subroutine \fBdlaqge\fP (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)" .br .RI "\fBDLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. " .ti -1c .RI "subroutine \fBslaqge\fP (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)" .br .RI "\fBSLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. " .ti -1c .RI "subroutine \fBzlaqge\fP (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)" .br .RI "\fBZLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. " .in -1c .SH "Detailed Description" .PP .SH "Function Documentation" .PP .SS "subroutine claqge (integer m, integer n, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) r, real, dimension( * ) c, real rowcnd, real colcnd, real amax, character equed)" .PP \fBCLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. .PP \fBPurpose:\fP .RS 4 .PP .nf CLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix A\&. M >= 0\&. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX array, dimension (LDA,N) On entry, the M by N matrix A\&. On exit, the equilibrated matrix\&. See EQUED for the form of the equilibrated matrix\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(M,1)\&. .fi .PP .br \fIR\fP .PP .nf R is REAL array, dimension (M) The row scale factors for A\&. .fi .PP .br \fIC\fP .PP .nf C is REAL array, dimension (N) The column scale factors for A\&. .fi .PP .br \fIROWCND\fP .PP .nf ROWCND is REAL Ratio of the smallest R(i) to the largest R(i)\&. .fi .PP .br \fICOLCND\fP .PP .nf COLCND is REAL Ratio of the smallest C(i) to the largest C(i)\&. .fi .PP .br \fIAMAX\fP .PP .nf AMAX is REAL Absolute value of largest matrix entry\&. .fi .PP .br \fIEQUED\fP .PP .nf EQUED is CHARACTER*1 Specifies the form of equilibration that was done\&. = 'N': No equilibration = 'R': Row equilibration, i\&.e\&., A has been premultiplied by diag(R)\&. = 'C': Column equilibration, i\&.e\&., A has been postmultiplied by diag(C)\&. = 'B': Both row and column equilibration, i\&.e\&., A has been replaced by diag(R) * A * diag(C)\&. .fi .PP .RE .PP \fBInternal Parameters:\fP .RS 4 .PP .nf THRESH is a threshold value used to decide if row or column scaling should be done based on the ratio of the row or column scaling factors\&. If ROWCND < THRESH, row scaling is done, and if COLCND < THRESH, column scaling is done\&. LARGE and SMALL are threshold values used to decide if row scaling should be done based on the absolute size of the largest matrix element\&. If AMAX > LARGE or AMAX < SMALL, row 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 .SS "subroutine dlaqge (integer m, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) r, double precision, dimension( * ) c, double precision rowcnd, double precision colcnd, double precision amax, character equed)" .PP \fBDLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. .PP \fBPurpose:\fP .RS 4 .PP .nf DLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix A\&. M >= 0\&. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is DOUBLE PRECISION array, dimension (LDA,N) On entry, the M by N matrix A\&. On exit, the equilibrated matrix\&. See EQUED for the form of the equilibrated matrix\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(M,1)\&. .fi .PP .br \fIR\fP .PP .nf R is DOUBLE PRECISION array, dimension (M) The row scale factors for A\&. .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION array, dimension (N) The column scale factors for A\&. .fi .PP .br \fIROWCND\fP .PP .nf ROWCND is DOUBLE PRECISION Ratio of the smallest R(i) to the largest R(i)\&. .fi .PP .br \fICOLCND\fP .PP .nf COLCND is DOUBLE PRECISION Ratio of the smallest C(i) to the largest C(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 the form of equilibration that was done\&. = 'N': No equilibration = 'R': Row equilibration, i\&.e\&., A has been premultiplied by diag(R)\&. = 'C': Column equilibration, i\&.e\&., A has been postmultiplied by diag(C)\&. = 'B': Both row and column equilibration, i\&.e\&., A has been replaced by diag(R) * A * diag(C)\&. .fi .PP .RE .PP \fBInternal Parameters:\fP .RS 4 .PP .nf THRESH is a threshold value used to decide if row or column scaling should be done based on the ratio of the row or column scaling factors\&. If ROWCND < THRESH, row scaling is done, and if COLCND < THRESH, column scaling is done\&. LARGE and SMALL are threshold values used to decide if row scaling should be done based on the absolute size of the largest matrix element\&. If AMAX > LARGE or AMAX < SMALL, row 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 .SS "subroutine slaqge (integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) r, real, dimension( * ) c, real rowcnd, real colcnd, real amax, character equed)" .PP \fBSLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. .PP \fBPurpose:\fP .RS 4 .PP .nf SLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix A\&. M >= 0\&. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is REAL array, dimension (LDA,N) On entry, the M by N matrix A\&. On exit, the equilibrated matrix\&. See EQUED for the form of the equilibrated matrix\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(M,1)\&. .fi .PP .br \fIR\fP .PP .nf R is REAL array, dimension (M) The row scale factors for A\&. .fi .PP .br \fIC\fP .PP .nf C is REAL array, dimension (N) The column scale factors for A\&. .fi .PP .br \fIROWCND\fP .PP .nf ROWCND is REAL Ratio of the smallest R(i) to the largest R(i)\&. .fi .PP .br \fICOLCND\fP .PP .nf COLCND is REAL Ratio of the smallest C(i) to the largest C(i)\&. .fi .PP .br \fIAMAX\fP .PP .nf AMAX is REAL Absolute value of largest matrix entry\&. .fi .PP .br \fIEQUED\fP .PP .nf EQUED is CHARACTER*1 Specifies the form of equilibration that was done\&. = 'N': No equilibration = 'R': Row equilibration, i\&.e\&., A has been premultiplied by diag(R)\&. = 'C': Column equilibration, i\&.e\&., A has been postmultiplied by diag(C)\&. = 'B': Both row and column equilibration, i\&.e\&., A has been replaced by diag(R) * A * diag(C)\&. .fi .PP .RE .PP \fBInternal Parameters:\fP .RS 4 .PP .nf THRESH is a threshold value used to decide if row or column scaling should be done based on the ratio of the row or column scaling factors\&. If ROWCND < THRESH, row scaling is done, and if COLCND < THRESH, column scaling is done\&. LARGE and SMALL are threshold values used to decide if row scaling should be done based on the absolute size of the largest matrix element\&. If AMAX > LARGE or AMAX < SMALL, row 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 .SS "subroutine zlaqge (integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision, dimension( * ) r, double precision, dimension( * ) c, double precision rowcnd, double precision colcnd, double precision amax, character equed)" .PP \fBZLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. .PP \fBPurpose:\fP .RS 4 .PP .nf ZLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix A\&. M >= 0\&. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX*16 array, dimension (LDA,N) On entry, the M by N matrix A\&. On exit, the equilibrated matrix\&. See EQUED for the form of the equilibrated matrix\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(M,1)\&. .fi .PP .br \fIR\fP .PP .nf R is DOUBLE PRECISION array, dimension (M) The row scale factors for A\&. .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION array, dimension (N) The column scale factors for A\&. .fi .PP .br \fIROWCND\fP .PP .nf ROWCND is DOUBLE PRECISION Ratio of the smallest R(i) to the largest R(i)\&. .fi .PP .br \fICOLCND\fP .PP .nf COLCND is DOUBLE PRECISION Ratio of the smallest C(i) to the largest C(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 the form of equilibration that was done\&. = 'N': No equilibration = 'R': Row equilibration, i\&.e\&., A has been premultiplied by diag(R)\&. = 'C': Column equilibration, i\&.e\&., A has been postmultiplied by diag(C)\&. = 'B': Both row and column equilibration, i\&.e\&., A has been replaced by diag(R) * A * diag(C)\&. .fi .PP .RE .PP \fBInternal Parameters:\fP .RS 4 .PP .nf THRESH is a threshold value used to decide if row or column scaling should be done based on the ratio of the row or column scaling factors\&. If ROWCND < THRESH, row scaling is done, and if COLCND < THRESH, column scaling is done\&. LARGE and SMALL are threshold values used to decide if row scaling should be done based on the absolute size of the largest matrix element\&. If AMAX > LARGE or AMAX < SMALL, row 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 .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.