org.netlib.arpack
Class Dnaup2

java.lang.Object
  extended by org.netlib.arpack.Dnaup2

public class Dnaup2
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.

*\BeginDoc \Name: dnaup2 \Description: Intermediate level interface called by dnaupd. \Usage: call dnaup2 ( IDO, BMAT, N, WHICH, NEV, NP, TOL, RESID, MODE, IUPD, ISHIFT, MXITER, V, LDV, H, LDH, RITZR, RITZI, BOUNDS, Q, LDQ, WORKL, IPNTR, WORKD, INFO ) \Arguments IDO, BMAT, N, WHICH, NEV, TOL, RESID: same as defined in dnaupd. MODE, ISHIFT, MXITER: see the definition of IPARAM in dnaupd. NP Integer. (INPUT/OUTPUT) Contains the number of implicit shifts to apply during each Arnoldi iteration. If ISHIFT=1, NP is adjusted dynamically at each iteration to accelerate convergence and prevent stagnation. This is also roughly equal to the number of matrix-vector products (involving the operator OP) per Arnoldi iteration. The logic for adjusting is contained within the current subroutine. If ISHIFT=0, NP is the number of shifts the user needs to provide via reverse comunication. 0 < NP < NCV-NEV. NP may be less than NCV-NEV for two reasons. The first, is to keep complex conjugate pairs of "wanted" Ritz values together. The second, is that a leading block of the current upper Hessenberg matrix has split off and contains "unwanted" Ritz values. Upon termination of the IRA iteration, NP contains the number of "converged" wanted Ritz values. IUPD Integer. (INPUT) IUPD .EQ. 0: use explicit restart instead implicit update. IUPD .NE. 0: use implicit update. V Double precision N by (NEV+NP) array. (INPUT/OUTPUT) The Arnoldi basis vectors are returned in the first NEV columns of V. LDV Integer. (INPUT) Leading dimension of V exactly as declared in the calling program. H Double precision (NEV+NP) by (NEV+NP) array. (OUTPUT) H is used to store the generated upper Hessenberg matrix LDH Integer. (INPUT) Leading dimension of H exactly as declared in the calling program. RITZR, Double precision arrays of length NEV+NP. (OUTPUT) RITZI RITZR(1:NEV) (resp. RITZI(1:NEV)) contains the real (resp. imaginary) part of the computed Ritz values of OP. BOUNDS Double precision array of length NEV+NP. (OUTPUT) BOUNDS(1:NEV) contain the error bounds corresponding to the computed Ritz values. Q Double precision (NEV+NP) by (NEV+NP) array. (WORKSPACE) Private (replicated) work array used to accumulate the rotation in the shift application step. LDQ Integer. (INPUT) Leading dimension of Q exactly as declared in the calling program. WORKL Double precision work array of length at least (NEV+NP)**2 + 3*(NEV+NP). (INPUT/WORKSPACE) Private (replicated) array on each PE or array allocated on the front end. It is used in shifts calculation, shifts application and convergence checking. On exit, the last 3*(NEV+NP) locations of WORKL contain the Ritz values (real,imaginary) and associated Ritz estimates of the current Hessenberg matrix. They are listed in the same order as returned from dneigh. If ISHIFT .EQ. O and IDO .EQ. 3, the first 2*NP locations of WORKL are used in reverse communication to hold the user supplied shifts. IPNTR Integer array of length 3. (OUTPUT) Pointer to mark the starting locations in the WORKD for vectors used by the Arnoldi iteration. ------------------------------------------------------------- IPNTR(1): pointer to the current operand vector X. IPNTR(2): pointer to the current result vector Y. IPNTR(3): pointer to the vector B * X when used in the shift-and-invert mode. X is the current operand. ------------------------------------------------------------- WORKD Double precision work array of length 3*N. (WORKSPACE) Distributed array to be used in the basic Arnoldi iteration for reverse communication. The user should not use WORKD as temporary workspace during the iteration !!!!!!!!!! See Data Distribution Note in DNAUPD. INFO Integer. (INPUT/OUTPUT) If INFO .EQ. 0, a randomly initial residual vector is used. If INFO .NE. 0, RESID contains the initial residual vector, possibly from a previous run. Error flag on output. = 0: Normal return. = 1: Maximum number of iterations taken. All possible eigenvalues of OP has been found. NP returns the number of converged Ritz values. = 2: No shifts could be applied. = -8: Error return from LAPACK eigenvalue calculation; This should never happen. = -9: Starting vector is zero. = -9999: Could not build an Arnoldi factorization. Size that was built in returned in NP. \EndDoc ----------------------------------------------------------------------- \BeginLib \Local variables: xxxxxx real \References: 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992), pp 357-385. 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly Restarted Arnoldi Iteration", Rice University Technical Report TR95-13, Department of Computational and Applied Mathematics. \Routines called: dgetv0 ARPACK initial vector generation routine. dnaitr ARPACK Arnoldi factorization routine. dnapps ARPACK application of implicit shifts routine. dnconv ARPACK convergence of Ritz values routine. dneigh ARPACK compute Ritz values and error bounds routine. dngets ARPACK reorder Ritz values and error bounds routine. dsortc ARPACK sorting routine. ivout ARPACK utility routine that prints integers. second ARPACK utility routine for timing. dmout ARPACK utility routine that prints matrices dvout ARPACK utility routine that prints vectors. dlamch LAPACK routine that determines machine constants. dlapy2 LAPACK routine to compute sqrt(x**2+y**2) carefully. dcopy Level 1 BLAS that copies one vector to another . ddot Level 1 BLAS that computes the scalar product of two vectors. dnrm2 Level 1 BLAS that computes the norm of a vector. dswap Level 1 BLAS that swaps two vectors. \Author Danny Sorensen Phuong Vu Richard Lehoucq CRPC / Rice University Dept. of Computational & Houston, Texas Applied Mathematics Rice University Houston, Texas \SCCS Information: @(#) FILE: naup2.F SID: 2.8 DATE OF SID: 10/17/00 RELEASE: 2 \Remarks 1. None \EndLib -----------------------------------------------------------------------


Field Summary
static boolean cnorm
           
static double eps23
           
static boolean getv0
           
static boolean initv
           
static org.netlib.util.intW iter
           
static org.netlib.util.intW kplusp
           
static int msglvl
           
static org.netlib.util.intW nconv
           
static int nev0
           
static int nevbef
           
static int np0
           
static int numcnv
           
static org.netlib.util.doubleW rnorm
           
static org.netlib.util.floatW t0
           
static org.netlib.util.floatW t1
           
static org.netlib.util.floatW t2
           
static org.netlib.util.floatW t3
           
static float t4
           
static float t5
           
static boolean update
           
static boolean ushift
           
 
Constructor Summary
Dnaup2()
           
 
Method Summary
static void dnaup2(org.netlib.util.intW ido, java.lang.String bmat, int n, java.lang.String which, org.netlib.util.intW nev, org.netlib.util.intW np, double tol, double[] resid, int _resid_offset, int mode, int iupd, int ishift, org.netlib.util.intW mxiter, double[] v, int _v_offset, int ldv, double[] h, int _h_offset, int ldh, double[] ritzr, int _ritzr_offset, double[] ritzi, int _ritzi_offset, double[] bounds, int _bounds_offset, double[] q, int _q_offset, int ldq, double[] workl, int _workl_offset, int[] ipntr, int _ipntr_offset, double[] workd, int _workd_offset, org.netlib.util.intW info)
           
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Field Detail

t0

public static org.netlib.util.floatW t0

t1

public static org.netlib.util.floatW t1

t2

public static org.netlib.util.floatW t2

t3

public static org.netlib.util.floatW t3

t4

public static float t4

t5

public static float t5

cnorm

public static boolean cnorm

getv0

public static boolean getv0

initv

public static boolean initv

update

public static boolean update

ushift

public static boolean ushift

iter

public static org.netlib.util.intW iter

kplusp

public static org.netlib.util.intW kplusp

msglvl

public static int msglvl

nconv

public static org.netlib.util.intW nconv

nevbef

public static int nevbef

nev0

public static int nev0

np0

public static int np0

numcnv

public static int numcnv

rnorm

public static org.netlib.util.doubleW rnorm

eps23

public static double eps23
Constructor Detail

Dnaup2

public Dnaup2()
Method Detail

dnaup2

public static void dnaup2(org.netlib.util.intW ido,
                          java.lang.String bmat,
                          int n,
                          java.lang.String which,
                          org.netlib.util.intW nev,
                          org.netlib.util.intW np,
                          double tol,
                          double[] resid,
                          int _resid_offset,
                          int mode,
                          int iupd,
                          int ishift,
                          org.netlib.util.intW mxiter,
                          double[] v,
                          int _v_offset,
                          int ldv,
                          double[] h,
                          int _h_offset,
                          int ldh,
                          double[] ritzr,
                          int _ritzr_offset,
                          double[] ritzi,
                          int _ritzi_offset,
                          double[] bounds,
                          int _bounds_offset,
                          double[] q,
                          int _q_offset,
                          int ldq,
                          double[] workl,
                          int _workl_offset,
                          int[] ipntr,
                          int _ipntr_offset,
                          double[] workd,
                          int _workd_offset,
                          org.netlib.util.intW info)