Titlebook: Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms; Gene H. Golub,Paul Dooren Conference proceedings 1991 Springe

entreat

举止粗野的人

Some Remarks on the Generalised Bareiss and Levinson AlgorithmsToeplitz (in .(..) operations). We show in this paper that the generalised Levinson algorithm is a direct consequence of the generalised Bareiss algorithm, thereby considerably simplifying its presentation in comparison to previous work.

荒唐

AMITY

休息

机械

Arroyo

憎恶

Parallel Computation of the Generalized Singular Value Decompositionon (SVD), QR decomposition and matrix-matrix multiplication. In addition to some difficulties in numerical treatment, how to avoid costly interfacing between these arrays and devise a single array that is capable of performing all these basic matrix computations is still an open problem.

Haphazard

An Introduction to the Class of Split Levinson Algorithmsce relation satisfied by these polynomials. The paper provides a self-contained introduction to the whole class of split Levinson algorithms, including a detailed technical derivation. This class is shown to depend on two unit modulus parameters, which can be chosen at will by the user.

庇护

Updating and Downdating of Orthogonal Polynomials with Data Fitting Applicationspotentially unstable, experimental results show that the methods give satisfactory results for low degree fits. The most economical of the algorithms implementing the methods needs 14.+ .(1) flops and 2. square roots to update a fit of order ..