org.netlib.lapack
Class SGEHRD

java.lang.Object
  extended by org.netlib.lapack.SGEHRD

public class SGEHRD
extends java.lang.Object

SGEHRD is a simplified interface to the JLAPACK routine sgehrd.
This interface converts Java-style 2D row-major arrays into
the 1D column-major linearized arrays expected by the lower
level JLAPACK routines.  Using this interface also allows you
to omit offset and leading dimension arguments.  However, because
of these conversions, these routines will be slower than the low
level ones.  Following is the description from the original Fortran
source.  Contact seymour@cs.utk.edu with any questions.

* .. * * Purpose * ======= * * SGEHRD reduces a real general matrix A to upper Hessenberg form H by * an orthogonal similarity transformation: Q' * A * Q = H . * * Arguments * ========= * * N (input) INTEGER * The order of the matrix A. N >= 0. * * ILO (input) INTEGER * IHI (input) INTEGER * It is assumed that A is already upper triangular in rows * and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally * set by a previous call to SGEBAL; otherwise they should be * set to 1 and N respectively. See Further Details. * 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0. * * A (input/output) REAL array, dimension (LDA,N) * On entry, the N-by-N general matrix to be reduced. * On exit, the upper triangle and the first subdiagonal of A * are overwritten with the upper Hessenberg matrix H, and the * elements below the first subdiagonal, with the array TAU, * represent the orthogonal matrix Q as a product of elementary * reflectors. See Further Details. * * LDA (input) INTEGER * The leading dimension of the array A. LDA >= max(1,N). * * TAU (output) REAL array, dimension (N-1) * The scalar factors of the elementary reflectors (see Further * Details). Elements 1:ILO-1 and IHI:N-1 of TAU are set to * zero. * * WORK (workspace/output) REAL array, dimension (LWORK) * On exit, if INFO = 0, WORK(1) returns the optimal LWORK. * * LWORK (input) INTEGER * The length of the array WORK. LWORK >= max(1,N). * For optimum performance LWORK >= N*NB, where NB is the * optimal blocksize. * * If LWORK = -1, then a workspace query is assumed; the routine * only calculates the optimal size of the WORK array, returns * this value as the first entry of the WORK array, and no error * message related to LWORK is issued by XERBLA. * * INFO (output) INTEGER * = 0: successful exit * < 0: if INFO = -i, the i-th argument had an illegal value. * * Further Details * =============== * * The matrix Q is represented as a product of (ihi-ilo) elementary * reflectors * * Q = H(ilo) H(ilo+1) . . . H(ihi-1). * * Each H(i) has the form * * H(i) = I - tau * v * v' * * where tau is a real scalar, and v is a real vector with * v(1:i) = 0, v(i+1) = 1 and v(ihi+1:n) = 0; v(i+2:ihi) is stored on * exit in A(i+2:ihi,i), and tau in TAU(i). * * The contents of A are illustrated by the following example, with * n = 7, ilo = 2 and ihi = 6: * * on entry, on exit, * * ( a a a a a a a ) ( a a h h h h a ) * ( a a a a a a ) ( a h h h h a ) * ( a a a a a a ) ( h h h h h h ) * ( a a a a a a ) ( v2 h h h h h ) * ( a a a a a a ) ( v2 v3 h h h h ) * ( a a a a a a ) ( v2 v3 v4 h h h ) * ( a ) ( a ) * * where a denotes an element of the original matrix A, h denotes a * modified element of the upper Hessenberg matrix H, and vi denotes an * element of the vector defining H(i). * * ===================================================================== * * .. Parameters ..


Constructor Summary
SGEHRD()
           
 
Method Summary
static void SGEHRD(int n, int ilo, int ihi, float[][] a, float[] tau, float[] work, int lwork, intW info)
           
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Constructor Detail

SGEHRD

public SGEHRD()
Method Detail

SGEHRD

public static void SGEHRD(int n,
                          int ilo,
                          int ihi,
                          float[][] a,
                          float[] tau,
                          float[] work,
                          int lwork,
                          intW info)