Other Titles in Applied Mathematics(共138册),这套丛书还有 《Classical Control Using H.》《Evaluating Derivatives》《Numerical Continuation and Bifurcation in Nonlinear PDEs》《MATLAB Guide》《Sparse Solutions of Underdetermined Linear Systems and Their Applications》等。 我来说两句 短评 ··· 热门 ...
Simultaneous iteration for the matrix eigenvalue problem - McCormick, Noe - 1977 () Citation Context ...rithms and more references for single level large scale complex eigenvalue problems can be found in [15]. We refer to [16], [17], [18], for theory on algebraic eigenvalue problems; ...
摘要: CiteSeerX - Scientific documents that cite the following paper: The principle of minimized iteration in the solution of the matrix eigenvalue problem关键词: CiteSeerX citations The principle of minimized iteration in the solution of the matrix eigenvalue problem W E Arnoldi ...
特征值,特征向量,Hamilton矩阵 EigenvalueEigenvectorHamilton Matrix在本文中,我们主要研究复Hamilton矩阵的特征值关于实轴和虚轴的对称性,以及复Hamilton矩阵的特征值是实的或纯虚数的充分条件.最后,通过证明得到一类特征值是关于实轴和虚轴对称的复Hamilton矩阵.In this paper, we focus on the conditions under which...
The Matrix Eigenvalue Problem The first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems: QR-like algorithms for dense problems and Krylov subspace methods for sparse problem... Watkins,S David 被引量: 195...
The latter is then used to develop an algorithm for computing the inertia of a matrix. The algorithm is more efficient than the other common procedures. 14 被引用 · 0 笔记 引用 Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices Y. Saad Dec 1980 It is...
x(0)=(16−2). Solution to a Homogeneous System: Consider a homogeneous system in matrix form y′=[a11a12a21a22]yy′=Ay We know that the scalar equationy′=myhas the solutiony=Cemt.Therefore, for the solution of the above system...
Every 3×33×3 Orthogonal Matrix Has 1 as an Eigenvalue (a) Let AA be a real orthogonal n×nn×n matrix. Prove that the length (magnitude) of each eigenvalue of AA is 11. (b) Let AA be a real orthogonal 3×33×3 matrix and suppose that the determinant of AA is 11. Then ...
Problem Statement Given a matrix A ∈ R n n , find k eigen pairs corresponding to eigenvalues with properties such as Largest (or smallest) absolute value Largest (or smallest) real part Nearest to given scalar µ Power Iteration Basic iteration step: Analysis (λ i , x i ) : eigen ...
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