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
    Definition Classes
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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
    Attributes
    protected[lang]
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    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  8. def e_q: (VectorD, VectorD)

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

  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
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  10. def equals(arg0: AnyRef): Boolean
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  11. 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

    Definition Classes
    Error
  12. final def getClass(): Class[_ <: AnyRef]
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    @native() @HotSpotIntrinsicCandidate()
  13. def hashCode(): Int
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    @native() @HotSpotIntrinsicCandidate()
  14. final def isInstanceOf[T0]: Boolean
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  15. final def ne(arg0: AnyRef): Boolean
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  16. final def notify(): Unit
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    @native() @HotSpotIntrinsicCandidate()
  17. final def notifyAll(): Unit
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    @native() @HotSpotIntrinsicCandidate()
  18. 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

  19. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
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  20. def test(): Unit

    Test whether the product of factorization equals the orginal matrix.

  21. def toString(): String
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  22. final def wait(arg0: Long, arg1: Int): Unit
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    @throws(classOf[java.lang.InterruptedException])
  23. final def wait(arg0: Long): Unit
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    @throws(classOf[java.lang.InterruptedException]) @native()
  24. final def wait(): Unit
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    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
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    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated

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