Results 51 to 60 of about 5,971,680 (301)
Explicit solution for an infinite dimensional generalized inverse eigenvalue problem
International Journal of Mathematics and Mathematical Sciences, 2001 We study a generalized inverse eigenvalue problem (GIEP), Ax=λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries ci>0, and B= diag (b0,b1,…), where bi≠0 for i=0,1,….
Kazem Ghanbari
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The Solvability Conditions for the Inverse Eigenvalue Problem of Hermitian and Generalized Skew-Hamiltonian Matrices and Its Approximation [PDF]
, 2003 In this paper, we first consider the inverse eigenvalue problem as follows: Find a matrix A with specified eigen-pairs, where A is a Hermitian and generalized skew- Hamiltonian matrix.
白正简, Zheng-jian Bai
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems
Abstract and Applied Analysis, 2012 This paper discusses highly efficient discretization schemes for mixed variational formulation of eigenvalue problems. A new finite element two-scale discretization scheme is proposed by combining the mixed finite element method with the shifted-inverse ...
Yidu Yang +4 more
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Inverse multiparameter eigenvalue problems for matrices III [PDF]
Proceedings of the Edinburgh Mathematical Society, 1986 This note will complement and, in a certain sense, complete our earlier studies [3, 4] of the theory of inverse multiparameter eigenvalue problems for matrices. In those papers, we considered the so called “additive inverse problem” which, briefly stated for the 2-parameter case, asks for conditions on given n × n matrices A, B, C and on given points ...
Browne, Patrick J., Sleeman, B. D.
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The Inverse Eigenvalue Problem of a Graph [PDF]
, 2016 Inverse eigenvalue problems appear in various contexts throughout mathematics and engineering, and refer to determining all possible lists of eigenvalues (spectra) for matrices fitting some description. The inverse eigenvalue problem of a graph refers to
Fallat, Shaun +7 more
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, 2013 This paper shows that the alternating direction method of multipliers (ADMM) is efficient for solving the semidefinite inverse quadratic eigenvalue problem (SDIQEP) with partial eigenstructure.
Bai, Zhengjian +5 more
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Successive eigenvalue relaxation: a new method for the generalized eigenvalue problem and convergence estimates [PDF]
, 2001 We present a new subspace iteration method for the efficient computation of several smallest eigenvalues of the generalized eigenvalue problem Au = lambda Bu for symmetric positive definite operators A and B.
Xanthis, L., Ovtchinnikov, E.
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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An Inexact Cayley Transform Method For Inverse Eigenvalue Problems [PDF]
, 2004 The Cayley transform method is a Newton-like method for solving inverse eigenvalue problems. If the problem is large, one can solve the Jacobian equation by iterative methods.
Raymond H. Chan +3 more
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