.TH "SRC/dlaed0.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/dlaed0.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdlaed0\fP (icompq, qsiz, n, d, e, q, ldq, qstore, ldqs, work, iwork, info)" .br .RI "\fBDLAED0\fP used by DSTEDC\&. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dlaed0 (integer icompq, integer qsiz, integer n, double precision, dimension( * ) d, double precision, dimension( * ) e, double precision, dimension( ldq, * ) q, integer ldq, double precision, dimension( ldqs, * ) qstore, integer ldqs, double precision, dimension( * ) work, integer, dimension( * ) iwork, integer info)" .PP \fBDLAED0\fP used by DSTEDC\&. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> DLAED0 computes all eigenvalues and corresponding eigenvectors of a !> symmetric tridiagonal matrix using the divide and conquer method\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIICOMPQ\fP .PP .nf !> ICOMPQ is INTEGER !> = 0: Compute eigenvalues only\&. !> = 1: Compute eigenvectors of original dense symmetric matrix !> also\&. On entry, Q contains the orthogonal matrix used !> to reduce the original matrix to tridiagonal form\&. !> = 2: Compute eigenvalues and eigenvectors of tridiagonal !> matrix\&. !> .fi .PP .br \fIQSIZ\fP .PP .nf !> QSIZ is INTEGER !> The dimension of the orthogonal matrix used to reduce !> the full matrix to tridiagonal form\&. QSIZ >= N if ICOMPQ = 1\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The dimension of the symmetric tridiagonal matrix\&. N >= 0\&. !> .fi .PP .br \fID\fP .PP .nf !> D is DOUBLE PRECISION array, dimension (N) !> On entry, the main diagonal of the tridiagonal matrix\&. !> On exit, its eigenvalues\&. !> .fi .PP .br \fIE\fP .PP .nf !> E is DOUBLE PRECISION array, dimension (N-1) !> The off-diagonal elements of the tridiagonal matrix\&. !> On exit, E has been destroyed\&. !> .fi .PP .br \fIQ\fP .PP .nf !> Q is DOUBLE PRECISION array, dimension (LDQ, N) !> On entry, Q must contain an N-by-N orthogonal matrix\&. !> If ICOMPQ = 0 Q is not referenced\&. !> If ICOMPQ = 1 On entry, Q is a subset of the columns of the !> orthogonal matrix used to reduce the full !> matrix to tridiagonal form corresponding to !> the subset of the full matrix which is being !> decomposed at this time\&. !> If ICOMPQ = 2 On entry, Q will be the identity matrix\&. !> On exit, Q contains the eigenvectors of the !> tridiagonal matrix\&. !> .fi .PP .br \fILDQ\fP .PP .nf !> LDQ is INTEGER !> The leading dimension of the array Q\&. If eigenvectors are !> desired, then LDQ >= max(1,N)\&. In any case, LDQ >= 1\&. !> .fi .PP .br \fIQSTORE\fP .PP .nf !> QSTORE is DOUBLE PRECISION array, dimension (LDQS, N) !> Referenced only when ICOMPQ = 1\&. Used to store parts of !> the eigenvector matrix when the updating matrix multiplies !> take place\&. !> .fi .PP .br \fILDQS\fP .PP .nf !> LDQS is INTEGER !> The leading dimension of the array QSTORE\&. If ICOMPQ = 1, !> then LDQS >= max(1,N)\&. In any case, LDQS >= 1\&. !> .fi .PP .br \fIWORK\fP .PP .nf !> WORK is DOUBLE PRECISION array, !> If ICOMPQ = 0 or 1, the dimension of WORK must be at least !> 1 + 3*N + 2*N*lg N + 3*N**2 !> ( lg( N ) = smallest integer k !> such that 2^k >= N ) !> If ICOMPQ = 2, the dimension of WORK must be at least !> 4*N + N**2\&. !> .fi .PP .br \fIIWORK\fP .PP .nf !> IWORK is INTEGER array, !> If ICOMPQ = 0 or 1, the dimension of IWORK must be at least !> 6 + 6*N + 5*N*lg N\&. !> ( lg( N ) = smallest integer k !> such that 2^k >= N ) !> If ICOMPQ = 2, the dimension of IWORK must be at least !> 3 + 5*N\&. !> .fi .PP .br \fIINFO\fP .PP .nf !> INFO is INTEGER !> = 0: successful exit\&. !> < 0: if INFO = -i, the i-th argument had an illegal value\&. !> > 0: The algorithm failed to compute an eigenvalue while !> working on the submatrix lying in rows and columns !> INFO/(N+1) through mod(INFO,N+1)\&. !> .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 Jeff Rutter, Computer Science Division, University of California at Berkeley, USA .RE .PP .PP Definition at line \fB170\fP of file \fBdlaed0\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.