Packages

c

scalation.linalgebra

Bidiagonal2

class Bidiagonal2 extends Error

The Bidiagonal2 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).

u is an m-by-n matrix b is an n-by-n matrix (bidiagonal - FIX: use BidMatrixD) v is an n-by-n matrix

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Instance Constructors

  1. new Bidiagonal2(a: MatrixD, m_by_n: Boolean = true)

    a

    the m-by-n matrix to bidiagonalize

    m_by_n

    whether the u matrix is to be m-by-n (true) or (m-by-m) false

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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.t * a * v = b' where matrix 'b' is bidiagonal.

    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

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    Show the flaw by printing the error message.

    Show the flaw by printing the error message.

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