Package jline.lib.smc

Class MG1_NI

java.lang.Object

jline.lib.smc.MG1_NI

public final class MG1_NI
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	mg1_ni(Matrix A, Object... optParams)	Solves G = A0 + A1 G + A2 G^2 + ...
static Matrix	mg1_ni(Matrix A, String mode, int maxNumIt, String shiftType, double epsilonValue, int verbose)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

mg1_ni

public static Matrix mg1_ni(Matrix A,
 Object... optParams)

Solves G = A0 + A1 G + A2 G^2 + ... + A_N G^N by Newton iteration, A = [A0 A1 ... AN].

Optional name/value pairs, as in the reference: Mode ('DirectSum', 'DirectSumShift', 'RealSchur', 'RealSchurShift' (default), 'ComplexSchur', 'ComplexSchurShift'), MaxNumIt (50), ShiftType ('one' (default), 'tau', 'dbl'), EpsilonValue (1e-14) and Verbose (0).

Each step linearizes the equation about the current iterate, which leaves sum_j B_j Y G^{j-1} = C, solved by SolveSylvPowers in the chosen form.

mg1_ni

public static Matrix mg1_ni(Matrix A,
 String mode,
 int maxNumIt,
 String shiftType,
 double epsilonValue,
 int verbose)