نتایج جستجو برای: factorization number

تعداد نتایج: 1185939  

Journal: :SIAM Journal on Matrix Analysis and Applications 2021

We propose a two-parameter family of nonsymmetric dense $n\times n$ matrices $A(\alpha,\beta)$ for which LU factorization without pivoting is numerically stable, and we show how to choose $\alpha$ $\beta$ achieve any value the $\infty$-norm condition number. The matrix can be formed from simple formula in $O(n^2)$ flops. suitable use HPL-AI Mixed-Precision Benchmark, requires an extreme scale t...

Journal: :SIAM J. Matrix Analysis Applications 1999
Esmond G. Ng Padma Raghavan

Greedy algorithms for ordering sparse matrices for Cholesky factorization can be based on diierent metrics. Minimum degree, a popular and eeective greedy ordering scheme, minimizes the number of nonzero entries in the rank-1 update (degree) at each step of the factorization. Alternatively, minimum deeciency minimizes the number of nonzero entries introduced (deeciency) at each step of the facto...

1999
Pedro M. Q. Aguiar José M. F. Moura

Tomasi and Kanade [1] introduced the factorization method for recovering 3D structure from 2D video. In their formulation, the 3D shape and 3D motion are computed by using an SVD to approximate a matrix that is rank 3 in a noiseless situation. In this paper we reformulate the problem using the fact that the x and y coordinates of each feature are known from their projection onto the image plane...

Journal: :IEEE Trans. Signal Processing 1999
Patrick Rault Christine Guillemot

The Symmetric Delay Factorization (SDF) is introduced in 1] for synthesizing linear phase paraunitary lter banks and is applied successfully in 2] for designing Time-Varying Filter Banks (TVFB). This paper describes a minimal and complete generalized symmetric delay factorization valid for a larger class of paraunitary lter banks, and for an arbitrary (even and odd) number of channels. The appr...

In this paper‎, ‎an efficient dropping criterion has been used to compute the IUL factorization obtained from Backward Factored APproximate INVerse (BFAPINV) and ILU factorization obtained from Forward Factored APproximate INVerse (FFAPINV) algorithms‎. ‎We use different drop tolerance parameters to compute the preconditioners‎. ‎To study the effect of such a dropping on the quality of the ILU ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده کشاورزی 1390

abstract previous researches have shown success of growth hormones usage on flower production increase, pod and prevention of abscission of them in some of the pulses. two tests were done, in order to find out the effects of growth hormones to on flower production increase, pod and chick pea yield composites in farmer conditions (2010-11) and green house conditions as factorial on the proje...

Journal: :Quantum Information Processing 2016
X. M. Liu Z. Z. Du J.-M. Liu

In this work, the concept of quantum Fisher information (QFI) is used to characterize the quantum transitions and factorization transitions in one-dimensional anisotropic XY models with periodic coupling interaction and quasiperiodic one. For the periodic-two model, it is found that the Ising transition and anisotropic transition can be distinctively illustrated by the evolution of QFI and its ...

2013
Kazuyoshi Yoshii Ryota Tomioka Daichi Mochihashi Masataka Goto

This paper presents a new class of tensor factorization called positive semidefinite tensor factorization (PSDTF) that decomposes a set of positive semidefinite (PSD) matrices into the convex combinations of fewer PSD basis matrices. PSDTF can be viewed as a natural extension of nonnegative matrix factorization. One of the main problems of PSDTF is that an appropriate number of bases should be ...

Journal: :Computational Statistics & Data Analysis 2006
Berwin A. Turlach

Hawkins and Yin (Comput. Statist. Data Anal. 40 (2002) 253) describe an algorithm for ridge regression of reduced rank data, i.e. data where p, the number of variables, is larger than n, the number of observations. Whereas a direct implementation of ridge regression in this setting requires calculations of order O(np2 + p3), their algorithm uses only calculations of order O(np2). In this paper,...

Journal: :Multiscale Modeling & Simulation 2011
Björn Engquist Lexing Ying

This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow the general structure of constructing an approximate LDLt factorization by eliminating the unknowns layer by layer starting from an absorbing layer or boundary condition. The central idea of this paper is to approximate ...

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