Search Results - the smallest eigenvalue of a matrix eigenvalue problem

Maximizing the smallest eigenvalue of grounded Laplacian matrix by Zhou, Xiaotian, Wang, Run, Li, Wei, Zhang, Zhongzhi

“… . The smallest eigenvalue λ ( S ) of L ( S ) plays a pivotal role in various dynamics defined on G . For example, λ…”
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Optimization on the smallest eigenvalue of grounded Laplacian matrix via edge addition by Zhou, Xiaotian, Sun, Haoxin, Li, Wei, Zhang, Zhongzhi

“…)﹨E, in order to maximize the smallest eigenvalue of the grounded Laplacian matrix. We show that the objective function of the combinatorial optimization…”
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Maximizing the smallest eigenvalue of a symmetric matrix: A submodular optimization approach by Clark, Andrew, Hou, Qiqiang, Bushnell, Linda, Poovendran, Radha

“…This paper studies the problem of selecting a submatrix of a positive definite matrix in order to achieve a desired bound on the smallest eigenvalue of the submatrix…”
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Smallest and largest generalized eigenvalues of large moment matrices and some applications by Escribano, C., Gonzalo, R., Torrano, E.

“…The main aim of this work is to compare two Borel measures thorough their moment matrices using a new notion of smallest and largest generalized eigenvalues…”
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Extremal inverse eigenvalue problem for irreducible acyclic matrices by Sharma, Debashish, Sarma, Bhaba Kumar

“…In this paper, we study the inverse eigenvalue problem of constructing symmetric matrices whose graph is a tree, i.e…”
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A dynamical method of DAEs for the smallest eigenvalue problem by Luo, Xin-long

“…This article gives a new method based on the dynamical system of differential-algebraic equations for the smallest eigenvalue problem of a symmetric matrix…”
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Mixed graphs whose Hermitian adjacency matrices of the second kind have the smallest eigenvalue greater than − 3 2 by Zhou, Zihan, Li, Shuchao, Yu, Yuantian

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Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators by Huang, Weizhang

“… It is shown that when the stiffness matrix is an irreducible M-matrix, the discrete eigenvalue problem maintains almost all of the basic properties such as the smallest eigenvalue being real…”
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A smallest singular value method for nonlinear eigenvalue problems by Sadkane, Miloud

“…A Newton-type method for the eigenvalue problem of analytic matrix functions is described and analysed…”
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Mixed graphs whose Hermitian adjacency matrices of the second kind have the smallest eigenvalue greater than −32 by Zhou, Zihan, Li, Shuchao, Yu, Yuantian

“… In this paper, we completely characterize the connected mixed graphs whose N-matrices have the smallest eigenvalue greater than −32…”
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Upper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalue by Rani, Sonu

“… We study the smallest positive (adjacency) eigenvalue of these trees. For such trees lower bounds on the smallest positive eigenvalue have already been obtained in literature but the problem of finding an upper bound still remains unsolved…”
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Preconditioned iterative methods for a class of nonlinear eigenvalue problems by Solov’ëv, Sergey I.

“…This paper proposes new iterative methods for the efficient computation of the smallest eigenvalue of symmetric nonlinear matrix eigenvalue problems of large order with a monotone dependence on the spectral parameter…”
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On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian by Yoonsoo Kim, Mesbahi, M.

“… between them. We pose the problem of finding the best vertex positional configuration in the presence of an additional proximity constraint, in the sense that, the second smallest eigenvalue of the corresponding…”
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The smallest eigenvalue of the signless Laplacian by de Lima, Leonardo Silva, Oliveira, Carla Silva, de Abreu, Nair Maria Maia, Nikiforov, Vladimir

“… While there are many results about the largest eigenvalue of the signless Laplacian, the properties of its smallest eigenvalue are less well studied…”
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Mixed graphs with smallest eigenvalue greater than −5+12 by Lu, Lu, Lou, Zhenzhen, Huang, Qiongxiang

“…The classical problem of characterizing the graphs whose eigenvalues lie in a given interval may date back to the work of J.H. Smith in 1970…”
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Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to √2 − 1 by Barik, Sasmita, Behera, Subhasish, Kirkland, Steve

“…The smallest positive eigenvalue $ \tau (G) $ τ ( G ) of a simple graph G is the smallest positive eigenvalue of its adjacency matrix $ A(G) $ A ( G ) . In [F. J. Zhang…”
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Smallest eigenvalue of large Hankel matrices at critical point: Comparing conjecture with parallelised computation by Chen, Yang, Sikorowski, Jakub, Zhu, Mengkun

“…We propose a novel parallel numerical algorithm for calculating the smallest eigenvalues of highly ill-conditioned Hankel matrices…”
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On the smallest positive eigenvalue of bipartite unicyclic graphs with a unique perfect matching II by Barik, Sasmita, Behera, Subhasish

“…Let G be a simple graph with the adjacency matrix $ A(G) $ A ( G ) . Let $ \tau (G) $ τ ( G ) denote the smallest positive eigenvalue…”
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On the limit points of the smallest positive eigenvalues of graphs by Barik, Sasmita, Mondal, Debabrota

“… Since then, many researchers have worked on similar problems, considering various specific eigenvalues such as the least eigenvalue, the kth largest eigenvalue, and the kth smallest eigenvalue, among others…”
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A simple functional neural network for computing the largest and smallest eigenvalues and corresponding eigenvectors of a real symmetric matrix by Liu, Yiguang, You, Zhisheng, Cao, Liping

“…Efficient computation of the largest eigenvalue and the smallest eigenvalue of a real symmetric matrix is a very important problem in engineering…”
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