.TH "SRC/dlaed5.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/dlaed5.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdlaed5\fP (i, d, z, delta, rho, dlam)" .br .RI "\fBDLAED5\fP used by DSTEDC\&. Solves the 2-by-2 secular equation\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dlaed5 (integer i, double precision, dimension( 2 ) d, double precision, dimension( 2 ) z, double precision, dimension( 2 ) delta, double precision rho, double precision dlam)" .PP \fBDLAED5\fP used by DSTEDC\&. Solves the 2-by-2 secular equation\&. .PP \fBPurpose:\fP .RS 4 .PP .nf This subroutine computes the I-th eigenvalue of a symmetric rank-one modification of a 2-by-2 diagonal matrix diag( D ) + RHO * Z * transpose(Z) \&. The diagonal elements in the array D are assumed to satisfy D(i) < D(j) for i < j \&. We also assume RHO > 0 and that the Euclidean norm of the vector Z is one\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fII\fP .PP .nf I is INTEGER The index of the eigenvalue to be computed\&. I = 1 or I = 2\&. .fi .PP .br \fID\fP .PP .nf D is DOUBLE PRECISION array, dimension (2) The original eigenvalues\&. We assume D(1) < D(2)\&. .fi .PP .br \fIZ\fP .PP .nf Z is DOUBLE PRECISION array, dimension (2) The components of the updating vector\&. .fi .PP .br \fIDELTA\fP .PP .nf DELTA is DOUBLE PRECISION array, dimension (2) The vector DELTA contains the information necessary to construct the eigenvectors\&. .fi .PP .br \fIRHO\fP .PP .nf RHO is DOUBLE PRECISION The scalar in the symmetric updating formula\&. .fi .PP .br \fIDLAM\fP .PP .nf DLAM is DOUBLE PRECISION The computed lambda_I, the I-th updated eigenvalue\&. .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 \fBContributors:\fP .RS 4 Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA .RE .PP .PP Definition at line \fB107\fP of file \fBdlaed5\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.