org.netlib.lapack
Class Dlar1v
java.lang.Object
org.netlib.lapack.Dlar1v
public class Dlar1v
- extends java.lang.Object
Following is the description from the original
Fortran source. For each array argument, the Java
version will include an integer offset parameter, so
the arguments may not match the description exactly.
Contact seymour@cs.utk.edu with any questions.
* ..
*
* Purpose
* =======
*
* DLAR1V computes the (scaled) r-th column of the inverse of
* the sumbmatrix in rows B1 through BN of the tridiagonal matrix
* L D L^T - sigma I. The following steps accomplish this computation :
* (a) Stationary qd transform, L D L^T - sigma I = L(+) D(+) L(+)^T,
* (b) Progressive qd transform, L D L^T - sigma I = U(-) D(-) U(-)^T,
* (c) Computation of the diagonal elements of the inverse of
* L D L^T - sigma I by combining the above transforms, and choosing
* r as the index where the diagonal of the inverse is (one of the)
* largest in magnitude.
* (d) Computation of the (scaled) r-th column of the inverse using the
* twisted factorization obtained by combining the top part of the
* the stationary and the bottom part of the progressive transform.
*
* Arguments
* =========
*
* N (input) INTEGER
* The order of the matrix L D L^T.
*
* B1 (input) INTEGER
* First index of the submatrix of L D L^T.
*
* BN (input) INTEGER
* Last index of the submatrix of L D L^T.
*
* SIGMA (input) DOUBLE PRECISION
* The shift. Initially, when R = 0, SIGMA should be a good
* approximation to an eigenvalue of L D L^T.
*
* L (input) DOUBLE PRECISION array, dimension (N-1)
* The (n-1) subdiagonal elements of the unit bidiagonal matrix
* L, in elements 1 to N-1.
*
* D (input) DOUBLE PRECISION array, dimension (N)
* The n diagonal elements of the diagonal matrix D.
*
* LD (input) DOUBLE PRECISION array, dimension (N-1)
* The n-1 elements L(i)*D(i).
*
* LLD (input) DOUBLE PRECISION array, dimension (N-1)
* The n-1 elements L(i)*L(i)*D(i).
*
* GERSCH (input) DOUBLE PRECISION array, dimension (2*N)
* The n Gerschgorin intervals. These are used to restrict
* the initial search for R, when R is input as 0.
*
* Z (output) DOUBLE PRECISION array, dimension (N)
* The (scaled) r-th column of the inverse. Z(R) is returned
* to be 1.
*
* ZTZ (output) DOUBLE PRECISION
* The square of the norm of Z.
*
* MINGMA (output) DOUBLE PRECISION
* The reciprocal of the largest (in magnitude) diagonal
* element of the inverse of L D L^T - sigma I.
*
* R (input/output) INTEGER
* Initially, R should be input to be 0 and is then output as
* the index where the diagonal element of the inverse is
* largest in magnitude. In later iterations, this same value
* of R should be input.
*
* ISUPPZ (output) INTEGER array, dimension (2)
* The support of the vector in Z, i.e., the vector Z is
* nonzero only in elements ISUPPZ(1) through ISUPPZ( 2 ).
*
* WORK (workspace) DOUBLE PRECISION array, dimension (4*N)
*
* Further Details
* ===============
*
* Based on contributions by
* Inderjit Dhillon, IBM Almaden, USA
* Osni Marques, LBNL/NERSC, USA
*
* =====================================================================
*
* .. Parameters ..
|
Method Summary |
static void |
dlar1v(int n,
int b1,
int bn,
double sigma,
double[] d,
int _d_offset,
double[] l,
int _l_offset,
double[] ld,
int _ld_offset,
double[] lld,
int _lld_offset,
double[] gersch,
int _gersch_offset,
double[] z,
int _z_offset,
doubleW ztz,
doubleW mingma,
intW r,
int[] isuppz,
int _isuppz_offset,
double[] work,
int _work_offset)
|
| Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Dlar1v
public Dlar1v()
dlar1v
public static void dlar1v(int n,
int b1,
int bn,
double sigma,
double[] d,
int _d_offset,
double[] l,
int _l_offset,
double[] ld,
int _ld_offset,
double[] lld,
int _lld_offset,
double[] gersch,
int _gersch_offset,
double[] z,
int _z_offset,
doubleW ztz,
doubleW mingma,
intW r,
int[] isuppz,
int _isuppz_offset,
double[] work,
int _work_offset)