dlaexc (l)  Linux Man Pages
dlaexc: swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasitriangular matrix T by an orthogonal similarity transformation
Command to display dlaexc
manual in Linux: $ man l dlaexc
NAME
DLAEXC  swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasitriangular matrix T by an orthogonal similarity transformation
SYNOPSIS
 SUBROUTINE DLAEXC(

WANTQ, N, T, LDT, Q, LDQ, J1, N1, N2, WORK,
INFO )

LOGICAL
WANTQ

INTEGER
INFO, J1, LDQ, LDT, N, N1, N2

DOUBLE
PRECISION Q( LDQ, * ), T( LDT, * ), WORK( * )
PURPOSE
DLAEXC swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in
an upper quasitriangular matrix T by an orthogonal similarity
transformation.
T must be in Schur canonical form, that is, block upper triangular
with 1by1 and 2by2 diagonal blocks; each 2by2 diagonal block
has its diagonal elemnts equal and its offdiagonal elements of
opposite sign.
ARGUMENTS
 WANTQ (input) LOGICAL

= .TRUE. : accumulate the transformation in the matrix Q;
= .FALSE.: do not accumulate the transformation.
 N (input) INTEGER

The order of the matrix T. N >= 0.
 T (input/output) DOUBLE PRECISION array, dimension (LDT,N)

On entry, the upper quasitriangular matrix T, in Schur
canonical form.
On exit, the updated matrix T, again in Schur canonical form.
 LDT (input) INTEGER

The leading dimension of the array T. LDT >= max(1,N).
 Q (input/output) DOUBLE PRECISION array, dimension (LDQ,N)

On entry, if WANTQ is .TRUE., the orthogonal matrix Q.
On exit, if WANTQ is .TRUE., the updated matrix Q.
If WANTQ is .FALSE., Q is not referenced.
 LDQ (input) INTEGER

The leading dimension of the array Q.
LDQ >= 1; and if WANTQ is .TRUE., LDQ >= N.
 J1 (input) INTEGER

The index of the first row of the first block T11.
 N1 (input) INTEGER

The order of the first block T11. N1 = 0, 1 or 2.
 N2 (input) INTEGER

The order of the second block T22. N2 = 0, 1 or 2.
 WORK (workspace) DOUBLE PRECISION array, dimension (N)

 INFO (output) INTEGER

= 0: successful exit
= 1: the transformed matrix T would be too far from Schur
form; the blocks are not swapped and T and Q are
unchanged.
Pages related to dlaexc
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 dlaebz (l)  contains the iteration loops which compute and use the function N(w), which is the count of eigenvalues of a symmetric tridiagonal matrix T less than or equal to its argument w
 dlaed0 (l)  computes all eigenvalues and corresponding eigenvectors of a symmetric tridiagonal matrix using the divide and conquer method
 dlaed1 (l)  computes the updated eigensystem of a diagonal matrix after modification by a rankone symmetric matrix
 dlaed2 (l)  merges the two sets of eigenvalues together into a single sorted set
 dlaed3 (l)  finds the roots of the secular equation, as defined by the values in D, W, and RHO, between 1 and K
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