.TH "dlanv2.f" 3 "Sun May 26 2013" "Version 3.4.1" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME dlanv2.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdlanv2\fP (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)" .br .RI "\fI\fBDLANV2\fP \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dlanv2 (double precisionA, double precisionB, double precisionC, double precisionD, double precisionRT1R, double precisionRT1I, double precisionRT2R, double precisionRT2I, double precisionCS, double precisionSN)" .PP \fBDLANV2\fP .PP \fBPurpose: \fP .RS 4 .PP .nf DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form: [ A B ] = [ CS -SN ] [ AA BB ] [ CS SN ] [ C D ] [ SN CS ] [ CC DD ] [-SN CS ] where either 1) CC = 0 so that AA and DD are real eigenvalues of the matrix, or 2) AA = DD and BB*CC < 0, so that AA + or - sqrt(BB*CC) are complex conjugate eigenvalues. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIA\fP .PP .nf A is DOUBLE PRECISION .fi .PP .br \fIB\fP .PP .nf B is DOUBLE PRECISION .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION .fi .PP .br \fID\fP .PP .nf D is DOUBLE PRECISION On entry, the elements of the input matrix. On exit, they are overwritten by the elements of the standardised Schur form. .fi .PP .br \fIRT1R\fP .PP .nf RT1R is DOUBLE PRECISION .fi .PP .br \fIRT1I\fP .PP .nf RT1I is DOUBLE PRECISION .fi .PP .br \fIRT2R\fP .PP .nf RT2R is DOUBLE PRECISION .fi .PP .br \fIRT2I\fP .PP .nf RT2I is DOUBLE PRECISION The real and imaginary parts of the eigenvalues. If the eigenvalues are a complex conjugate pair, RT1I > 0. .fi .PP .br \fICS\fP .PP .nf CS is DOUBLE PRECISION .fi .PP .br \fISN\fP .PP .nf SN is DOUBLE PRECISION Parameters of the rotation matrix. .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 November 2011 .RE .PP \fBFurther Details: \fP .RS 4 .PP .nf Modified by V. Sima, Research Institute for Informatics, Bucharest, Romania, to reduce the risk of cancellation errors, when computing real eigenvalues, and to ensure, if possible, that abs(RT1R) >= abs(RT2R). .fi .PP .RE .PP .PP Definition at line 128 of file dlanv2\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.