scalation.linalgebra

Eigenvalue

Related Doc: package linalgebra

class Eigenvalue extends Eigen with Error

The Eigenvalue class is used to find the eigenvalues of an 'n' by 'n' matrix 'a' using an iterative technique that applies similarity transformations to convert 'a' into an upper triangular matrix, so that the eigenvalues appear along the diagonal. To improve performance, the 'a' matrix is first reduced to Hessenburg form. During the iterative steps, a shifted QR decomposition is performed. Caveats: (i) it will not handle eigenvalues that are complex numbers, (ii) it uses a simple shifting strategy that may slow convergence.

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Error, Eigen, AnyRef, Any
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Instance Constructors

  1. new Eigenvalue(a: MatrixD)

    a

    the matrix whose eigenvalues are sought

Value Members

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

    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  4. val DEBUG: Boolean

    Debug flag

    Debug flag

    Attributes
    protected
    Definition Classes
    Eigen
  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  6. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. var converging: Boolean

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

    Definition Classes
    AnyRef
  9. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  10. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  11. 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
  12. var g: MatrixD

  13. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  14. def getE: VectorD

    Get the eigenvalue e vector.

  15. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  16. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  17. var lastE: Double

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

    Definition Classes
    AnyRef
  19. final def notify(): Unit

    Definition Classes
    AnyRef
  20. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  21. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  22. def toString(): String

    Definition Classes
    AnyRef → Any
  23. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  24. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  25. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Error

Inherited from Eigen

Inherited from AnyRef

Inherited from Any

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