This generalization to overdetermined problems is also possible for the factorization of the boundary value problems studied here (this is discussed in the doctoral thesis of Maria Orey and an additional boundary condition is discussed), but we will restrict our attention in this chapter to well-...
Therefore, these methods can potentially generate efficient preconditioners for Krylov subspace methods for solving large sparse systems of linear equations. Moreover, the upper triangular factor is an incomplete Cholesky factorization preconditioner for the normal equations matrix from least-squares problems....
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1.We present a new scheme for authenticated key exchange,the security of which is based on both discrete logarithm and big integer factorization.提出一种基于身份认证的密钥交换新方案,其安全性是同时基于离散对数和大整数分解难问题的。 2.This paper introduces three hard problems (Big Integer Factorizat...
We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarc
We consider the problem of solving least squares problems involving a matrixMof small displacement rank with respect to two matricesZ1andZ2. We develop for... A Kalsi,DP O&Aposleary - 《Journal of Research of the National Institute of Standards & Technology》 被引量: 2发表: 2006年 ...
Some Factorization Formula: In algebra for doing factorization various methods are available. Sometimes algebraic identities help a lot for solving such problems. Some of them are as follows: (m+p)2=m2+p2+2mp (m−p)2=m2+p2–2mp
We show that one can always factorize the RtR map using only operators defined using single-scatterer problems. This factorization is based on a decomposition of the diffracted field, on the whole domain where it is defined. Assuming that there exists a good method for solving single-scatterer ...
using System; using System.Collections.Generic; using System.Linq; using Microsoft.ML; using Microsoft.ML.Data; using Microsoft.ML.Trainers; namespace Samples.Dynamic.Trainers.Recommendation { public static class MatrixFactorizationWithOptions { // This ...
Considers the generalized factorization in boundary value problems in multiply connected domains. Operator used; Introduction of an exterior vector form; Expression of the differential equations; Use of the Stokes theorem in the domain; Representation of the space-transformation group....