Results 1 to 10 of about 871,744 (361)
Fractional Sturm–Liouville Eigenvalue Problems, II
Fractal and Fractional, 2022 We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
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Axioms, 2022 In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
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Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations
Machines, 2023 In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes ...
Dario Mangoni +2 more
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On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Axioms, 2022 This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
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Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach
Mathematics, 2022 The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function
Maria Isabel García-Planas +1 more
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A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $
Comptes Rendus. Mathématique, 2023 In this note, we derive an equation which describes the closure of a particular set comprising $n-$valued functions. This result provides an answer to a long standing question for which the particular case $n=2$ had been known and used frequently in the ...
Zivari-Rezapour, Mohsen +2 more
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Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments [PDF]
New Journal of Physics, 2018 Quantum phase estimation (QPE) is the workhorse behind any quantum algorithm and a promising method for determining ground state energies of strongly correlated quantum systems. Low-cost QPE techniques make use of circuits which only use a single ancilla
T. O’Brien, B. Tarasinski, B. Terhal
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Estimating Number of Factors by Adjusted Eigenvalues Thresholding [PDF]
Journal of the American Statistical Association, 2019 Determining the number of common factors is an important and practical topic in high-dimensional factor models. The existing literature is mainly based on the eigenvalues of the covariance matrix.
Jianqing Fan +2 more
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Eigenvalues of Cayley Graphs [PDF]
Electronic Journal of Combinatorics, 2018 We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.
Xiaogang Liu, Sanming Zhou
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Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices [PDF]
Annals of Statistics, 2017 We study the asymptotic distributions of the spiked eigenvalues and the largest nonspiked eigenvalue of the sample covariance matrix under a general covariance matrix model with divergent spiked eigenvalues, while the other eigenvalues are bounded but ...
T. Cai, Xiao Han, G. Pan
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