Decoupling of bidiagonal systems involving singular blocks
نویسندگان
چکیده
منابع مشابه
Accurate Singular Values of Bidiagonal Matrices
2 has nonzero entries only on its diagonal and first superdiagonal ) Compute orthogonal matrices P and Q such that Σ = P BQ is diagonal and nonnegat i 2 2 2 T 2 ive. The diagonal entries σ of Σ are the singular values of A . We will take them to be sorted in decreasing order: σ ≥ σ . The columns of Q= Q Q are the right singular vec i i + 1 1 2 t 1 2 ors, and the columns of P= P P are the left s...
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We have developed algorithms to count singular values of a bidiagonalmatrix which are greater than a speci ed value This requires the transformation of the singular value problem to an equivalent symmetric eigenvalue problem The counting of sin gular values is paramount in the design of bisection and multisection type algorithms for computing singular values on serial and parallel machines The ...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 1992
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/12.2.301