Výsledky vyhledávání - numerical solution algorithm for the generalized eigenvalue problem
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Numerical solution to a stokes interface problem
ISSN: 0965-5425, 1555-6662Vydáno: Dordrecht SP MAIK Nauka/Interperiodica 01.01.2009Vydáno v Computational mathematics and mathematical physics (01.01.2009)“…A numerical algorithm is described for solving the generalized eigenvalue problem arising in the study of the spectrum of a preconditioned operator in the pressure equation derived from a Stokes interface problem…”
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An Ulm-like algorithm for generalized inverse eigenvalue problems
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.03.2025Vydáno v Numerical algorithms (01.03.2025)“…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
ISSN: 2096-6385, 2661-8893Vydáno: Singapore Springer Nature Singapore 01.06.2025Vydáno v Communications on Applied Mathematics and Computation (Online) (01.06.2025)“…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
ISSN: 2073-8994, 2073-8994Vydáno: Basel MDPI AG 01.01.2023Vydáno v Symmetry (Basel) (01.01.2023)“…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
ISSN: 0021-9991, 1090-2716Vydáno: Cambridge Elsevier Inc 15.10.2018Vydáno v Journal of computational physics (15.10.2018)“…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
ISSN: 0895-4798, 1095-7162Vydáno: 01.01.2015Vydáno v SIAM journal on matrix analysis and applications (01.01.2015)Získat plný text
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The palindromic generalized eigenvalue problem Ax = λAx: Numerical solution and applications
ISSN: 0024-3795Vydáno: Amsterdam Elsevier 01.06.2011Vydáno v Linear algebra and its applications (01.06.2011)Získat plný text
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Fluctuating-rate model with multiple gene states
ISSN: 0303-6812, 1432-1416, 1432-1416Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020Vydáno v Journal of mathematical biology (01.11.2020)“…Multiple phenotypic states of single cells often co-exist in the presence of positive feedbacks. Stochastic gene-state switchings and low copy numbers of…”
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A new subspace iteration algorithm for solving generalized eigenvalue problems in vibration analysis
ISSN: 0377-0427Vydáno: Elsevier B.V 01.11.2025Vydáno v Journal of computational and applied mathematics (01.11.2025)“…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
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2019Vydáno v Mathematical programming (01.01.2019)“… 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
ISSN: 0377-0427, 1879-1778Vydáno: Elsevier B.V 01.05.2023Vydáno v Journal of computational and applied mathematics (01.05.2023)“…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
ISSN: 0101-8205, 2238-3603, 1807-0302Vydáno: Cham Springer International Publishing 01.03.2018Vydáno v Computational & applied mathematics (01.03.2018)“…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
ISSN: 2314-4629, 2314-4785Vydáno: Cairo John Wiley & Sons, Inc 2024Vydáno v Journal of mathematics (Hidawi) (2024)“…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
ISSN: 1053-587X, 1941-0476Vydáno: IEEE 01.04.2015Vydáno v IEEE transactions on signal processing (01.04.2015)“… 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
ISSN: 0006-3835, 1572-9125, 1572-9125Vydáno: Dordrecht Springer Netherlands 01.09.2024Vydáno v BIT (01.09.2024)“…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
ISSN: 0926-6003, 1573-2894Vydáno: 01.01.2025Vydáno v Computational optimization and applications (01.01.2025)“…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
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.01.2025Vydáno v Computational optimization and applications (01.01.2025)“…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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Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems
ISSN: 2076-3417, 2076-3417Vydáno: Basel MDPI AG 01.11.2020Vydáno v Applied sciences (01.11.2020)“…This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem…”
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The generalized trust region subproblem: solution complexity and convex hull results
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022Vydáno v Mathematical programming (01.02.2022)“… 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
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.08.2025Vydáno v Numerical algorithms (01.08.2025)“…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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