One-sided reduction to bidiagonal form
نویسندگان
چکیده
منابع مشابه
A Distribution Independent Algorithm for the Reduction to Tridiagonal Form Using One-Sided Rotations
A scalable algorithm for the reduction to tridiagonal form of symmetric matrices is developed. It uses one-sided rotations instead of similarity transforms. This allows a data distribution independent implementation with low communication volume. Timings on the Fujitsu AP 1000 and VPP 500 show good performance .
متن کاملOne-Sided Interval Trees
We give an alternative treatment and extension of some results of Itoh and Mahmoud on one-sided interval trees. The proofs are based on renewal theory, including a case with mixed multiplicative and additive renewals.
متن کاملImproved Normal Form for Grammars with One-Sided Contexts
Formal grammars equipped with operators for specifying the form of the context of a substring were recently studied by Barash and Okhotin (“An extension of context-free grammars with one-sided context specifications”, Inform. Comput., 2014), further extending the author’s earlier work on propositional connectives in grammars (A. Okhotin, “Conjunctive grammars”, J. Autom. Lang. Comb., 2001). The...
متن کاملMore Accurate Bidiagonal Reduction for Computing the Singular Value Decomposition
Bidiagonal reduction is the preliminary stage for the fastest stable algorithms for computing the singular value decomposition. However, the best error bounds on bidiagonal reduction methods are of the form A + A = UBV T ; kAk 2 " M f(n)kAk 2 where B is bidiagonal, U and V are orthogonal, " M is machine precision, and f(n) is a modestly growing function of the dimensions of A. A Givens-based bi...
متن کاملReorthogonalization for the Golub-Kahan-Lanczos bidiagonal reduction
The Golub–Kahan–Lanczos (GKL) bidiagonal reduction generates, by recurrence, the matrix factorization of X ∈ Rm×n,m ≥ n, given by X = U BV T where U ∈ Rm×n is left orthogonal, V ∈ Rn×n is orthogonal, and B ∈ Rn×n is bidiagonal. When the GKL recurrence is implemented in finite precision arithmetic, the columns of U and V tend to lose orthogonality, making a reorthogonalization strategy necessary...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00569-9