scalation.linalgebra

Bidiagonal

class Bidiagonal extends Error

The Bidiagonal class is used to creates a bidiagonal matrix for matrix 'a'. It uses the Householder Bidiagonalization Algorithm to compute orthogonal matrices 'u' and 'v' such that

u.t * a * v = b a = u * b * v.t

where matrix 'b' is bidiagonal, i.e, it will only have non-zero elements on its main diagonal and its super-diagonal (the diagonal above the main).

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Instance Constructors

  1. new Bidiagonal(a: MatrixD)

    a

    the m-by-n matrix to bidiagonalize

Value Members

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

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  2. final def ##(): Int

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

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  4. final def asInstanceOf[T0]: T0

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  5. def bidiagonalize(): (MatrixD, MatrixD, MatrixD)

    Use the Householder Bidiagonalization Algorithm to compute orthogonal matrices 'u' and 'v' such that 'u.

    Use the Householder Bidiagonalization Algorithm to compute orthogonal matrices 'u' and 'v' such that 'u.t * a * v = b' where matrix 'b' is bidiagonal. This implementation computes 'b' in-place overwriting matrix 'a'.

    See also

    Matrix Computations: Algorithm 5.4.2 Householder Bidiagonalization

  6. def clone(): AnyRef

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  10. 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

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

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

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