Search Results - numerical (solution OR evolution) algorithm for the generalized eigenvalue problem

An Ulm-like algorithm for generalized inverse eigenvalue problems by Luo, Yusong, Shen, Weiping

“…In this paper, we study the numerical solutions of the generalized inverse eigenvalue problem (for short, GIEP). Motivated…”
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Numerical Solution of Partial Symmetric Generalized Eigenvalue Problems in Piezo Device Modal Analysis by Muratova, Galina V., Martynova, Tatiana S., Oganesyan, Pavel A.

“…We demonstrate how different computational approaches affect the performance of solving the generalized eigenvalue problem (GEP…”
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The Numerical Solution of Large-Scale Generalized Eigenvalue Problems Arising from Finite-Element Modeling of Electroelastic Materials by Martynova, Tatiana, Muratova, Galina, Oganesyan, Pavel, Shtein, Olga

“…The generalized eigenvalue problem for a symmetric definite matrix pencil obtained from finite-element modeling of electroelastic materials is solved numerically by the Lanczos algorithm…”
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Solution of the k-th eigenvalue problem in large-scale electronic structure calculations by Lee, Dongjin, Hoshi, Takeo, Sogabe, Tomohiro, Miyatake, Yuto, Zhang, Shao-Liang

“…We consider computing the k-th eigenvalue and its corresponding eigenvector of a generalized Hermitian eigenvalue problem of n…”
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On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem by Dai, Hua, Bai, Zhong-Zhi, Wei, Ying

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The palindromic generalized eigenvalue problem Ax = λAx: Numerical solution and applications by TIEXIANG LI, CHIANG, Chun-Yueh, KING-WAH CHU, Eric, LIN, Wen-Wei

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A new subspace iteration algorithm for solving generalized eigenvalue problems in vibration analysis by Wang, Biyi, An, Hengbin, Xie, Hehu, Mo, Zeyao

“…Large scale generalized eigenvalue problems (GEP) arise in many applications, such as the vibration analysis, quantum mechanics, electronic structure calculation…”
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Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint by Adachi, Satoru, Nakatsukasa, Yuji

“… of a generalized eigenvalue problem, and involves no outer iterations other than the (usually black-box) iterations for computing the eigenpair…”
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Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems by Imakura, Akira, Morikuni, Keiichi, Takayasu, Akitoshi

“…We propose a verified computation method for eigenvalues in a region and the corresponding eigenvectors of generalized Hermitian eigenvalue problems…”
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Least-squares solutions of generalized inverse eigenvalue problem over Hermitian–Hamiltonian matrices with a submatrix constraint by Cai, Jing, Chen, Jianlong

“…In this paper, a gradient-based iterative algorithm is proposed for finding the least-squares solutions of the following constrained generalized inverse…”
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The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo‐Jacobi Matrix by Yi, Fuxia, Li, Enhua

“…This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo‐Jacobi matrix. From a non…”
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Sparse Generalized Eigenvalue Problem Via Smooth Optimization by Junxiao Song, Babu, Prabhu, Palomar, Daniel P.

“… 0 -norm by a continuous surrogate function. Then an algorithm is developed via iteratively majorizing the surrogate function by a quadratic separable function, which at each iteration reduces to a regular generalized eigenvalue problem…”
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Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils by Kressner, Daniel, Plestenjak, Bor

“…The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues…”
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On a minimization problem of the maximum generalized eigenvalue: properties and algorithms by Nishioka, Akatsuki, Toyoda, Mitsuru, Tanaka, Mirai, Kanno, Yoshihiro

“…We study properties and algorithms of a minimization problem of the maximum generalized eigenvalue of symmetric-matrix-valued affine functions, which is nonsmooth and quasiconvex, and has application…”
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On a minimization problem of the maximum generalized eigenvalue: properties and algorithms: On a minimization problem of the maximum by Nishioka, Akatsuki, Toyoda, Mitsuru, Tanaka, Mirai, Kanno, Yoshihiro

“…We study properties and algorithms of a minimization problem of the maximum generalized eigenvalue of symmetric-matrix-valued affine functions, which is nonsmooth and quasiconvex, and has application…”
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The generalized trust region subproblem: solution complexity and convex hull results by Wang, Alex L., Kılınç-Karzan, Fatma

“… Our first main contribution is structural: we give an explicit description of the convex hull of this nonconvex set in terms of the generalized eigenvalues of an associated matrix pencil…”
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Globally maximizing the ratio of two generalized quadratic matrix form functions over the Stiefel manifold by Wang, Longfei, Chen, Yu, Jiao, Hongwei, Xiao, Yunhai, Yang, Meijia

“…We consider the problem of maximizing the ratio of two generalized quadratic matrix form functions over the Stiefel manifold, i.e., max X T X = I tr ( G X T A X ) tr ( G X T B X ) (RQMP…”
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A construction algorithm for dual complex generalized eigenvalue decomposition and its application to blind source separation by Wang, Tao, Li, Ying, Zhang, Mingcui

“…Since the generalized eigenvalue problem has a unique and stable solution when the generalized eigenvalues are distinct, which is fundamental to many scientific and engineering applications…”
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Accurate solutions of structured generalized Kronecker product linear systems by Yang, Zhao, Huang, Rong, Zhu, Wei, Liu, Jianzhou

“…In this paper, we consider the generalized Kronecker product (GKP) linear system associated with a class of consecutive-rank-descending (CRD…”
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Eigenvalue-Based Hidden Convexity Algorithm for Radial Distribution Network Optimization with Non-convex Power Flow Equations by Yuan, Yi, Ding, Tao, Mu, Chenggang, Zhang, Xiaotong, Ding, Yujie, Fu, Guobin, Shahidehpour, Mohammad

“… To effectively solve the non-convex optimization problem, an eigenvalue-based hidden convexity (EBHC…”
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