.TH "slas2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME slas2.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBslas2\fP (F, G, H, SSMIN, SSMAX)" .br .RI "\fI\fBSLAS2\fP computes singular values of a 2-by-2 triangular matrix\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine slas2 (realF, realG, realH, realSSMIN, realSSMAX)" .PP \fBSLAS2\fP computes singular values of a 2-by-2 triangular matrix\&. .PP \fBPurpose: \fP .RS 4 .PP .nf SLAS2 computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]. On return, SSMIN is the smaller singular value and SSMAX is the larger singular value. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIF\fP .PP .nf F is REAL The (1,1) element of the 2-by-2 matrix. .fi .PP .br \fIG\fP .PP .nf G is REAL The (1,2) element of the 2-by-2 matrix. .fi .PP .br \fIH\fP .PP .nf H is REAL The (2,2) element of the 2-by-2 matrix. .fi .PP .br \fISSMIN\fP .PP .nf SSMIN is REAL The smaller singular value. .fi .PP .br \fISSMAX\fP .PP .nf SSMAX is REAL The larger singular value. .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 \fBFurther Details: \fP .RS 4 .PP .nf Barring over/underflow, all output quantities are correct to within a few units in the last place (ulps), even in the absence of a guard digit in addition/subtraction. In IEEE arithmetic, the code works correctly if one matrix element is infinite. Overflow will not occur unless the largest singular value itself overflows, or is within a few ulps of overflow. (On machines with partial overflow, like the Cray, overflow may occur if the largest singular value is within a factor of 2 of overflow.) Underflow is harmless if underflow is gradual. Otherwise, results may correspond to a matrix modified by perturbations of size near the underflow threshold. .fi .PP .RE .PP .PP Definition at line 108 of file slas2\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.