Results 281 to 290 of about 448,247 (335)

Matrix eigenvalue Problems

2000
Abstract Where I is the uni matrix. This is the characteristic equation of the matrix A. If we expand the determinant by Cramer’s rule (cf chapter 10) we see that pA is a polynomial of degree n in λ. The characteristic equation therefore possesses n roots λi, not all necessarily distinct from each other, which are the eigenvalues of ...
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The matrix eigenvalue problem

2008
This chapter explains the eigenvalue problem or the determination of the eigenvalues and eigenvectors of a square matrix, which is important in many branches of the physical sciences and engineering. The chapter discusses the properties of eigenvalues and eigenvectors.
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Matrix Eigenvalue Problems

2014
The eigenvalues and eigenvectors of a matrix play an important role in many settings in physics and engineering.
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Matrix Eigenvalue Problems

1998
Many problems in science and engineering lead to eigenvalue problems for matrices. These occur either directly or by discretization of eigenvalue problems for differential or integral operators. In the latter case the size of the matrices will be rather large.
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Numerical validation for an inverse matrix eigenvalue problem

Computing, 1994
The authors consider the following problem (called the additive inverse eigenvalue problem): Given \(n + 1\) real symmetric \(n \times n\) matrices \(A_ i\), \(i = 0, 1, \dots, n\), and given \(n\) real numbers \(\lambda_ 1 < \lambda_ 2 < \dots < \lambda_ n\), prove that there are \(n\) real numbers \(c^*_ i\), \(i = 1, \dots, n\), such that the matrix
Götz Alefeld, A. Gienger, Günter Mayer
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On matrix inverse eigenvalue problems

Inverse Problems, 1998
Results are presented regarding the inverse problem for a multiparameter perturbed linear operator on \(\mathbb{C}^n\). [Cf. \textit{F. V. Atkinson}, Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. (1972; Zbl 0555.47001).] Given an \((n,n)\) matrix (i) \(A(t_1,\dots, t_n)= C_0+ \sum^n_{i=1} t_iC_i\) with eigenvalues ...
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On the cone eigenvalue complementarity problem for higher-order tensors

Computational optimization and applications, 2015
In this paper, we consider the tensor generalized eigenvalue complementarity problem (TGEiCP), which is an interesting generalization of matrix eigenvalue complementarity problem (EiCP).
C. Ling, Hongjin He, L. Qi
semanticscholar   +1 more source

The WZ algorithm for the eigenvalue problem of complex matrix

Applied Mathematics and Computation, 2005
The authors analyse the eigenvalue problem of a complex matrix. Based on a new factorization and splitting WZ procedure, they propose an algorithm for the above mentioned eigenvalue problem and prove necessary and sufficient conditions that the LR factorization of the complex matrix is equivalent to the WZ factorization of the transformed real matrix ...
Shiguang Li, Gang Zhou, Dayue Chen 0001
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The Solution of Matrix Eigenvalue Problems

1978
Let A be a square matrix of order n. Consider the equation $$Ax = \,\lambda x,$$ (7.1) where λ is a real or complex number and x is an n-tuple. For x = 0, equation (7.1) is satisfied by an arbitrary scalar λ. The values of λ for which there exists some nonzero vector x satisfying (7.1) are called eigenvalues and the corresponding vectors x ...
Ferenc Szidarovszky, Sidney Yakowitz
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Complementarity eigenvalue problems for nonlinear matrix pencils

Applied Mathematics and Computation, 2017
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António Pinto da Costa, Alberto Seeger, F. M. F. Simões   +2 more
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