org.netlib.lapack
Class SLATDF
java.lang.Object
org.netlib.lapack.SLATDF
public class SLATDF
 extends java.lang.Object
SLATDF is a simplified interface to the JLAPACK routine slatdf.
This interface converts Javastyle 2D rowmajor arrays into
the 1D columnmajor 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
* =======
*
* SLATDF uses the LU factorization of the nbyn matrix Z computed by
* SGETC2 and computes a contribution to the reciprocal Difestimate
* by solving Z * x = b for x, and choosing the r.h.s. b such that
* the norm of x is as large as possible. On entry RHS = b holds the
* contribution from earlier solved subsystems, and on return RHS = x.
*
* The factorization of Z returned by SGETC2 has the form Z = P*L*U*Q,
* where P and Q are permutation matrices. L is lower triangular with
* unit diagonal elements and U is upper triangular.
*
* Arguments
* =========
*
* IJOB (input) INTEGER
* IJOB = 2: First compute an approximative nullvector e
* of Z using SGECON, e is normalized and solve for
* Zx = +e  f with the sign giving the greater value
* of 2norm(x). About 5 times as expensive as Default.
* IJOB .ne. 2: Local look ahead strategy where all entries of
* the r.h.s. b is choosen as either +1 or 1 (Default).
*
* N (input) INTEGER
* The number of columns of the matrix Z.
*
* Z (input) REAL array, dimension (LDZ, N)
* On entry, the LU part of the factorization of the nbyn
* matrix Z computed by SGETC2: Z = P * L * U * Q
*
* LDZ (input) INTEGER
* The leading dimension of the array Z. LDA >= max(1, N).
*
* RHS (input/output) REAL array, dimension N.
* On entry, RHS contains contributions from other subsystems.
* On exit, RHS contains the solution of the subsystem with
* entries acoording to the value of IJOB (see above).
*
* RDSUM (input/output) REAL
* On entry, the sum of squares of computed contributions to
* the Difestimate under computation by STGSYL, where the
* scaling factor RDSCAL (see below) has been factored out.
* On exit, the corresponding sum of squares updated with the
* contributions from the current subsystem.
* If TRANS = 'T' RDSUM is not touched.
* NOTE: RDSUM only makes sense when STGSY2 is called by STGSYL.
*
* RDSCAL (input/output) REAL
* On entry, scaling factor used to prevent overflow in RDSUM.
* On exit, RDSCAL is updated w.r.t. the current contributions
* in RDSUM.
* If TRANS = 'T', RDSCAL is not touched.
* NOTE: RDSCAL only makes sense when STGSY2 is called by
* STGSYL.
*
* IPIV (input) INTEGER array, dimension (N).
* The pivot indices; for 1 <= i <= N, row i of the
* matrix has been interchanged with row IPIV(i).
*
* JPIV (input) INTEGER array, dimension (N).
* The pivot indices; for 1 <= j <= N, column j of the
* matrix has been interchanged with column JPIV(j).
*
* Further Details
* ===============
*
* Based on contributions by
* Bo Kagstrom and Peter Poromaa, Department of Computing Science,
* Umea University, S901 87 Umea, Sweden.
*
* This routine is a further developed implementation of algorithm
* BSOLVE in [1] using complete pivoting in the LU factorization.
*
* [1] Bo Kagstrom and Lars Westin,
* Generalized Schur Methods with Condition Estimators for
* Solving the Generalized Sylvester Equation, IEEE Transactions
* on Automatic Control, Vol. 34, No. 7, July 1989, pp 745751.
*
* [2] Peter Poromaa,
* On Efficient and Robust Estimators for the Separation
* between two Regular Matrix Pairs with Applications in
* Condition Estimation. Report IMINF95.05, Departement of
* Computing Science, Umea University, S901 87 Umea, Sweden, 1995.
*
* =====================================================================
*
* .. Parameters ..
Method Summary 
static void 
SLATDF(int ijob,
int n,
float[][] z,
float[] rhs,
floatW rdsum,
floatW rdscal,
int[] ipiv,
int[] jpiv)

Methods inherited from class java.lang.Object 
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
SLATDF
public SLATDF()
SLATDF
public static void SLATDF(int ijob,
int n,
float[][] z,
float[] rhs,
floatW rdsum,
floatW rdscal,
int[] ipiv,
int[] jpiv)