org.netlib.lapack
Class Iparmq

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

public class Iparmq
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 * ======= * * This program sets problem and machine dependent parameters * useful for xHSEQR and its subroutines. It is called whenever * ILAENV is called with 12 <= ISPEC <= 16 * * Arguments * ========= * * ISPEC (input) integer scalar * ISPEC specifies which tunable parameter IPARMQ should * return. * * ISPEC=12: (INMIN) Matrices of order nmin or less * are sent directly to xLAHQR, the implicit * double shift QR algorithm. NMIN must be * at least 11. * * ISPEC=13: (INWIN) Size of the deflation window. * This is best set greater than or equal to * the number of simultaneous shifts NS. * Larger matrices benefit from larger deflation * windows. * * ISPEC=14: (INIBL) Determines when to stop nibbling and * invest in an (expensive) multi-shift QR sweep. * If the aggressive early deflation subroutine * finds LD converged eigenvalues from an order * NW deflation window and LD.GT.(NW*NIBBLE)/100, * then the next QR sweep is skipped and early * deflation is applied immediately to the * remaining active diagonal block. Setting * IPARMQ(ISPEC=14) = 0 causes TTQRE to skip a * multi-shift QR sweep whenever early deflation * finds a converged eigenvalue. Setting * IPARMQ(ISPEC=14) greater than or equal to 100 * prevents TTQRE from skipping a multi-shift * QR sweep. * * ISPEC=15: (NSHFTS) The number of simultaneous shifts in * a multi-shift QR iteration. * * ISPEC=16: (IACC22) IPARMQ is set to 0, 1 or 2 with the * following meanings. * 0: During the multi-shift QR sweep, * xLAQR5 does not accumulate reflections and * does not use matrix-matrix multiply to * update the far-from-diagonal matrix * entries. * 1: During the multi-shift QR sweep, * xLAQR5 and/or xLAQRaccumulates reflections * matrix-matrix multiply to update the * far-from-diagonal matrix entries. * 2: During the multi-shift QR sweep. * xLAQR5 accumulates reflections and takes * advantage of 2-by-2 block structure during * matrix-matrix multiplies. * (If xTRMM is slower than xGEMM, then * IPARMQ(ISPEC=16)=1 may be more efficient than * IPARMQ(ISPEC=16)=2 despite the greater level of * arithmetic work implied by the latter choice.) * * NAME (input) character string * Name of the calling subroutine * * OPTS (input) character string * This is a concatenation of the string arguments to * TTQRE. * * N (input) integer scalar * N is the order of the Hessenberg matrix H. * * ILO (input) INTEGER * IHI (input) INTEGER * It is assumed that H is already upper triangular * in rows and columns 1:ILO-1 and IHI+1:N. * * LWORK (input) integer scalar * The amount of workspace available. * * Further Details * =============== * * Little is known about how best to choose these parameters. * It is possible to use different values of the parameters * for each of CHSEQR, DHSEQR, SHSEQR and ZHSEQR. * * It is probably best to choose different parameters for * different matrices and different parameters at different * times during the iteration, but this has not been * implemented --- yet. * * * The best choices of most of the parameters depend * in an ill-understood way on the relative execution * rate of xLAQR3 and xLAQR5 and on the nature of each * particular eigenvalue problem. Experiment may be the * only practical way to determine which choices are most * effective. * * Following is a list of default values supplied by IPARMQ. * These defaults may be adjusted in order to attain better * performance in any particular computational environment. * * IPARMQ(ISPEC=12) The xLAHQR vs xLAQR0 crossover point. * Default: 75. (Must be at least 11.) * * IPARMQ(ISPEC=13) Recommended deflation window size. * This depends on ILO, IHI and NS, the * number of simultaneous shifts returned * by IPARMQ(ISPEC=15). The default for * (IHI-ILO+1).LE.500 is NS. The default * for (IHI-ILO+1).GT.500 is 3*NS/2. * * IPARMQ(ISPEC=14) Nibble crossover point. Default: 14. * * IPARMQ(ISPEC=15) Number of simultaneous shifts, NS. * a multi-shift QR iteration. * * If IHI-ILO+1 is ... * * greater than ...but less ... the * or equal to ... than default is * * 0 30 NS = 2+ * 30 60 NS = 4+ * 60 150 NS = 10 * 150 590 NS = ** * 590 3000 NS = 64 * 3000 6000 NS = 128 * 6000 infinity NS = 256 * * (+) By default matrices of this order are * passed to the implicit double shift routine * xLAHQR. See IPARMQ(ISPEC=12) above. These * values of NS are used only in case of a rare * xLAHQR failure. * * (**) The asterisks (**) indicate an ad-hoc * function increasing from 10 to 64. * * IPARMQ(ISPEC=16) Select structured matrix multiply. * (See ISPEC=16 above for details.) * Default: 3. * * ================================================================ * .. Parameters ..


Constructor Summary
Iparmq()
           
 
Method Summary
static int iparmq(int ispec, java.lang.String name, java.lang.String opts, int n, int ilo, int ihi, int lwork)
           
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Constructor Detail

Iparmq

public Iparmq()
Method Detail

iparmq

public static int iparmq(int ispec,
                         java.lang.String name,
                         java.lang.String opts,
                         int n,
                         int ilo,
                         int ihi,
                         int lwork)