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object SVD4

The SVD4 companion object.

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  1. def test(a: MatrixD, name: String): Unit

    Test the SVD4 Factorization algorithm on matrix 'a' by factoring the matrix into a left matrix u, a vector s, and a right matrix v.

    Test the SVD4 Factorization algorithm on matrix 'a' by factoring the matrix into a left matrix u, a vector s, and a right matrix v. Then multiply back to recover the original matrix.

    a

    the given matrix to factor

    name

    the name of the test case

  2. def testBid(aa: MatrixD, name: String): Unit

    Test the SVD4 Factorization algorithm on a bidiagonalization of matrix 'a', factoring it into a left matrix 'uu', bidiagonal matrix 'bb', and right matrix 'vv'.

    Test the SVD4 Factorization algorithm on a bidiagonalization of matrix 'a', factoring it into a left matrix 'uu', bidiagonal matrix 'bb', and right matrix 'vv'. Then multiply back to recover the original matrix.

    name

    the name of the test case

  3. def trailing(b: MatrixD): MatrixD

    Compute the trailing 2-by-2 submatrix of 'b.t * b' without multiplying the full matrices.

    Compute the trailing 2-by-2 submatrix of 'b.t * b' without multiplying the full matrices.

    b

    the given bidiagonal matrix