Package jline.util

Class ComplexOps

java.lang.Object
jline.util.ComplexOps
public final class ComplexOps extends Object
The few complex operations the transform layer needs. WHY THIS EXISTS. A Laplace-Stieltjes transform is evaluated OFF the real axis by everything that inverts it or locates its roots: the Abate-Whitt Euler sum walks the line Re(s) = A/(2t), and the matrix transform int exp(Ut) dF(t) is read off the spectrum of U, which is complex in general. ComplexMatrix carries complex data but offers no solve, and pulling in a full complex linear algebra stack for an n x n system of the size a phase-type law has would be out of proportion. Gaussian elimination with partial pivoting is enough and is what this class provides.

  • Method Summary

    Modifier and Type
    Method
    Description
    static org.apache.commons.math3.complex.Complex[]
    solve(org.apache.commons.math3.complex.Complex[][] A, org.apache.commons.math3.complex.Complex[] b)
    Solves A x = b by Gaussian elimination with partial pivoting.

    Methods inherited from class java.lang.Object

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

  • Method Details

    • solve

      public static org.apache.commons.math3.complex.Complex[] solve(org.apache.commons.math3.complex.Complex[][] A, org.apache.commons.math3.complex.Complex[] b)
      Solves A x = b by Gaussian elimination with partial pivoting.
      Parameters:
      A - n x n coefficient matrix, consumed by value (a copy is taken)
      b - right-hand side of length n
      Returns:
      the solution x