Results 21 to 30 of about 448,247 (335)
Mathematics, 2022 In this paper, a novel algorithm is proposed for reducing a banded symmetric generalized eigenvalue problem to a banded symmetric standard eigenvalue problem, based on the sequentially semiseparable (SSS) matrix techniques.
Fan Yuan +6 more
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Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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Mathematics, 2022 In this paper, the interpolation matrix method (IMM) is proposed to solve the buckling critical load of axially functionally graded (FG) Timoshenko beams.
Renyu Ge +4 more
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Estimation of the number of spiked eigenvalues in a covariance matrix by bulk eigenvalue matching analysis [PDF]
Journal of the American Statistical Association, 2020 The spiked covariance model has gained increasing popularity in high-dimensional data analysis. A fundamental problem is determination of the number of spiked eigenvalues, K.
Z. Ke, Yucong Ma, Xihong Lin
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A Note on NIEP for Leslie and Doubly Leslie Matrices
Mathematics, 2020 The nonnegative inverse eigenvalue problem (NIEP) consists of finding necessary and sufficient conditions for the existence of a nonnegative matrix with a given list of complex numbers as its spectrum.
Luis Medina, Hans Nina, Elvis Valero
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Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Advances in Difference Equations, 2020 This paper deals with a class of inverse spectral problems of fourth-order boundary value problems with eigenparameter-dependent boundary conditions.
Ji-jun Ao, Liang Zhang
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Two inverse eigenvalue problems for matrices whose graphs are trees
AKCE International Journal of Graphs and Combinatorics, 2023 Inverse eigenvalue problem refers to the problem of reconstructing a matrix of a desired structure from a prescribed eigendata. In this paper, we discuss two additive inverse eigenvalue problems for matrices whose graph is tree.
Bijoya Bardhan +2 more
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Inflationary dynamics for matrix eigenvalue problems [PDF]
Proceedings of the National Academy of Sciences, 2008 Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons around an atom or molecule, the acoustic modes of a concert hall, or hundreds of other physical quantities. Often only the few eigenpairs with the lowest
Heller, E., Kaplan, L., Pollmann, F.
openaire +4 more sources
Ab initio nuclear structure – the large sparse matrix eigenvalue problem [PDF]
, 2009 The structure and reactions of light nuclei represent fundamental and formidable challenges for microscopic theory based on realistic strong interaction potentials.
J. Vary +4 more
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Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles [PDF]
, 2010 We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane.
Akemann, G +5 more
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