Suchergebnisse - numerical solution algorithm for the generalized eigenvalue problem

  1. 1

    Numerical solution to a stokes interface problem von Chizhonkov, E. V.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.01.2009
    Veröffentlicht in 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 von Luo, Yusong, Shen, Weiping

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.03.2025
    Veröffentlicht in 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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  3. 3

    Numerical Solution of Partial Symmetric Generalized Eigenvalue Problems in Piezo Device Modal Analysis von Muratova, Galina V., Martynova, Tatiana S., Oganesyan, Pavel A.

    ISSN: 2096-6385, 2661-8893
    Veröffentlicht: Singapore Springer Nature Singapore 01.06.2025
    “… We demonstrate how different computational approaches affect the performance of solving the generalized eigenvalue problem (GEP …”
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  4. 4

    The Numerical Solution of Large-Scale Generalized Eigenvalue Problems Arising from Finite-Element Modeling of Electroelastic Materials von Martynova, Tatiana, Muratova, Galina, Oganesyan, Pavel, Shtein, Olga

    ISSN: 2073-8994, 2073-8994
    Veröffentlicht: Basel MDPI AG 01.01.2023
    Veröffentlicht in 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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  5. 5

    Solution of the k-th eigenvalue problem in large-scale electronic structure calculations von Lee, Dongjin, Hoshi, Takeo, Sogabe, Tomohiro, Miyatake, Yuto, Zhang, Shao-Liang

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Cambridge Elsevier Inc 15.10.2018
    Veröffentlicht in 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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    Fluctuating-rate model with multiple gene states von Li, Jingwei, Ge, Hao, Zhang, Yunxin

    ISSN: 0303-6812, 1432-1416, 1432-1416
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
    Veröffentlicht in 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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  9. 9

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

    ISSN: 0377-0427
    Veröffentlicht: Elsevier B.V 01.11.2025
    Veröffentlicht in 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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  10. 10

    Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint von Adachi, Satoru, Nakatsukasa, Yuji

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2019
    Veröffentlicht in 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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  11. 11

    Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems von Imakura, Akira, Morikuni, Keiichi, Takayasu, Akitoshi

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 01.05.2023
    Veröffentlicht in 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 von Cai, Jing, Chen, Jianlong

    ISSN: 0101-8205, 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.03.2018
    Veröffentlicht in 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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  13. 13

    The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo‐Jacobi Matrix von Yi, Fuxia, Li, Enhua

    ISSN: 2314-4629, 2314-4785
    Veröffentlicht: Cairo John Wiley & Sons, Inc 2024
    Veröffentlicht in 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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  14. 14

    Sparse Generalized Eigenvalue Problem Via Smooth Optimization von Junxiao Song, Babu, Prabhu, Palomar, Daniel P.

    ISSN: 1053-587X, 1941-0476
    Veröffentlicht: IEEE 01.04.2015
    Veröffentlicht in 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 von Kressner, Daniel, Plestenjak, Bor

    ISSN: 0006-3835, 1572-9125, 1572-9125
    Veröffentlicht: Dordrecht Springer Netherlands 01.09.2024
    Veröffentlicht in 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 von Nishioka, Akatsuki, Toyoda, Mitsuru, Tanaka, Mirai, Kanno, Yoshihiro

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: 01.01.2025
    Veröffentlicht in 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 von Nishioka, Akatsuki, Toyoda, Mitsuru, Tanaka, Mirai, Kanno, Yoshihiro

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: New York Springer US 01.01.2025
    Veröffentlicht in 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 von Tzounas, Georgios, Dassios, Ioannis, Liu, Muyang, Milano, Federico

    ISSN: 2076-3417, 2076-3417
    Veröffentlicht: Basel MDPI AG 01.11.2020
    Veröffentlicht in 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 von Wang, Alex L., Kılınç-Karzan, Fatma

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022
    Veröffentlicht in 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 von Wang, Longfei, Chen, Yu, Jiao, Hongwei, Xiao, Yunhai, Yang, Meijia

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.08.2025
    Veröffentlicht in 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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