scalation.linalgebra

SymmetricQRstep

object SymmetricQRstep extends Eigen with Error

This class performs a symmetric QR step with a Wilkinson shift.

See also

http://people.inf.ethz.ch/arbenz/ewp/Lnotes/chapter3.pdf (Algorithm 3.6)

,

Algorithm 8.3.2 in Matrix Computations.

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  1. final def !=(arg0: AnyRef): Boolean

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  2. final def !=(arg0: Any): Boolean

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  3. final def ##(): Int

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  4. final def ==(arg0: AnyRef): Boolean

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  5. final def ==(arg0: Any): Boolean

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  6. val DEBUG: Boolean

    Debug flag

    Debug flag

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    protected
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    Eigen

  7. val EPSILON: Double

    Error tolerance value

    Error tolerance value

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  8. final def asInstanceOf[T0]: T0

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  9. def clone(): AnyRef

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  10. final def eq(arg0: AnyRef): Boolean

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  11. def equals(arg0: Any): Boolean

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  12. def finalize(): Unit

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    @throws()

  13. def flaw(method: String, message: String): Unit

    Show the flaw by printing the error message.

    Show the flaw by printing the error message.

    method

    the method where the error occurred

    message

    the error message

    Definition Classes
    Error

  14. final def getClass(): java.lang.Class[_]

    Definition Classes
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  15. def givens(a: Double, b: Double): (Double, Double)

    Create the values for a Givens 2-by-2 rotation matrix.

    Create the values for a Givens 2-by-2 rotation matrix. Given scalars a and b, efficiently compute c = cos(theta) and s = sin(theta) that can be used to form the rotation matrix.

    a

    the first scalar

    b

    the second scalar

    See also

    Algorithm 5.1.3 in Matrix Computation.

  16. def hashCode(): Int

    Definition Classes
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  17. final def isInstanceOf[T0]: Boolean

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  18. final def ne(arg0: AnyRef): Boolean

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  19. final def notify(): Unit

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  20. final def notifyAll(): Unit

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  21. def qRStep(t: SymTriMatrixD, p: Int, q: Int): Unit

    Apply a QR reduction step to matrix t.

    Apply a QR reduction step to matrix t.

    t

    the unreduced symmetric tridiagonal matrix

    p

    the row index

    q

    the column index

  22. final def synchronized[T0](arg0: ⇒ T0): T0

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  23. def toString(): String

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  24. final def wait(): Unit

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  25. final def wait(arg0: Long, arg1: Int): Unit

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  26. final def wait(arg0: Long): Unit

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