Packages

class Bidiagonal[MatT <: MatriD] extends Error

The Bidiagonal class is used to create a bidiagonal matrix from 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 Bidiagonal(a: MatT)

    a

    the m-by-n matrix to bidiagonalize (requires m >= n)

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(): (MatriD, MatriD, MatriD)

    Bidiagonalize matrix 'a' using the Householder Bidiagonalization Algorithm to compute orthogonal matrices 'u' and 'v' such that 'u.t * a * v = b' where matrix 'b' is bidiagonal.

  6. def bmax: Double

    Return the maximum column magnitude from bidiagonal matrix 'b'.

  7. def clone(): AnyRef
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    protected[java.lang]
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    @native() @throws( ... )
  8. def e_q: (VectorD, VectorD)

    Return the super-diagonal 'e' and main diagonal 'q' as vectors.

  9. final def eq(arg0: AnyRef): Boolean
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  10. def equals(arg0: Any): Boolean
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  11. def finalize(): Unit
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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  12. final 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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  13. final def getClass(): Class[_]
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    @native()
  14. def hashCode(): Int
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  15. final def isInstanceOf[T0]: Boolean
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  16. final def ne(arg0: AnyRef): Boolean
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  17. final def notify(): Unit
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    @native()
  18. final def notifyAll(): Unit
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    @native()
  19. def sdot(v1: VectoD, v2: VectoD, from: Int = 0): Double

    Compute the sliced dot product.

    Compute the sliced dot product. Take the dot product of two row/column vectors starting from the 'from' parameter.

    v1

    the first vector

    v2

    the second vector

    from

    the offset from which to compute the sliced dot product

  20. final def synchronized[T0](arg0: ⇒ T0): T0
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  21. def test(): Unit

    Test whether the product of factorization equals the orginal matrix.

  22. def toString(): String
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  23. final def wait(): Unit
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    @throws( ... )
  24. final def wait(arg0: Long, arg1: Int): Unit
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  25. final def wait(arg0: Long): Unit
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