Titlebook: Linear Algebra for Large Scale and Real-Time Applications; Marc S. Moonen,Gene H. Golub,Bart L. R. Moor Book 1993 Springer Science+Busines

曲解

The Look-Ahead Lanczos Process for Large Nonsymmetric Matrices and Related Algorithms large non-Hermitian linear systems. However, the Lanczos algorithm in its original form is susceptible to possible breakdowns and potential instabilities. We describe a look-ahead variant of the Lanczos process that remedies the problems of the original algorithm. We also discuss related algorithms

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Adaptive Signal Processing with Emphasis on QRD-Least Squares Lattice. The algorithm makes it possible for the filter to perform satisfactorily in an environment when complete knowledge of the relevant signal characteristics is not available [1], Adaptive filters find applications in such diverse fields as communications, radar, sonar, control, and biomedical enginee

DRILL

A Direct Method for Reordering Eigenvalues in the Generalized Real Schur form of a Regular Matrix Par matrix pair (.) is presented. Each swap of two adjacent eigenvalues (real, or complex conjugate pairs) involves solving a generalized Sylvester equation and the construction of two orthogonal transformation matrices from certain eigenspaces associated with the corresponding diagonal blocks. An err

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N防腐劑

Computing the Singular Value Decomposition on a Fat-Tree Architecturen necessary to calculate the SVD in real time. We present here a new technique for computing the SVD on a parallel architecture whose processors are connected via a fat-tree. We tested our idea on the Connection Machine CM-5, and achieved efficiency up to 40% even for moderately sized matrices.

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燕麥

Determining Rank in the Presence of Errorsition and make a decision about the rank by examining the small elements of the decomposition. In this paper we look at three commonly use decompositions: the singular value decomposition, the pivoted QR decomposition, and the URV decomposition.

Arbitrary

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Some Linear Algebra Issues in Large-Scale Optimizationrisingly wide variation not only in form and representation of matrices, but also in the level of solution accuracy. A broad and often vaguely specified concept in the latter context is “inexact” solution. For unconstrained, linearly constrained and nonlinearly constrained optimization in turn, we d

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cheobronchial tree through specialized catheters or probes. The advent of flexible cryoprobes has expanded the use of cryotherapy for several applications, yet they work on two primary principles. The first of these is “cryoadhesion” that refers to the target tissue sticking to the tip of the cryopr