On Spectral Eigenvalue Problem of a Class of Self-similar Spectral Measures with Consecutive Digits
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-020-09795-x
Abstract: Let $$\mu _{p,q}$$ be a self-similar spectral measure with consecutive digits generated by an iterated function system $$\{f_i(x)=\frac{x}{p}+\frac{i}{q}\}_{i=0}^{q-1}$$ , where $$2\le q\in {{\mathbb {Z}}}$$ and q|p. It is known that for each $$w=w_1w_2\cdots \in \{-1,1\}^\infty… read more here.
Keywords: self similar; eigenvalue problem; similar spectral; problem class ... See more keywords
The Steklov eigenvalue problem in a cuspidal domain
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DOI: 10.1007/s00211-019-01092-0
Abstract: In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov eigenvalue problem in a plane domain with an external cusp. This problem is not covered by the literature and its… read more here.
Keywords: problem cuspidal; eigenvalue problem; cuspidal domain; steklov eigenvalue ... See more keywords
Spectral Indicator Method for a Non-selfadjoint Steklov Eigenvalue Problem
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DOI: 10.1007/s10915-019-00913-6
Abstract: We propose an efficient numerical method for a non-selfadjoint Steklov eigenvalue problem. The Lagrange finite element is used for discretization and the convergence is proved using the spectral perturbation theory for compact operators. The non-selfadjointness… read more here.
Keywords: method non; eigenvalue problem; problem; non selfadjoint ... See more keywords
Resonant Steklov eigenvalue problem involving the (p, q)-Laplacian
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DOI: 10.1007/s13370-018-0634-9
Abstract: In the present paper, we study the existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator (p, q)-Laplacian with indefinite weights at resonance cases. read more here.
Keywords: resonant steklov; eigenvalue problem; steklov eigenvalue;
A DRBEM approximation of the Steklov eigenvalue problem
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.11.003
Abstract: Abstract In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential… read more here.
Keywords: drbem; eigenvalue problem; steklov eigenvalue; eigenvalue ... See more keywords
Hochstadt inverse eigenvalue problem for Jacobi matrices
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.014
Abstract: Abstract In this study, we give the necessary and sufficient conditions for the existence of a solution to the Hochstadt inverse eigenvalue problem (HIEP), i.e., the problem of recovering n unknown parameters of a Jacobi… read more here.
Keywords: eigenvalue problem; inverse eigenvalue; hochstadt inverse; problem jacobi ... See more keywords
R type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
Sign Up to like & getrecommendations! Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.10.005
Abstract: We consider a sequence of polynomials $\{P_n\}_{n \geq 0}$ satisfying a special $R_{II}$ type recurrence relation where the zeros of $P_n$ are simple and lie on the real line. It turns out that the polynomial… read more here.
Keywords: type recurrence; unit circle; eigenvalue problem; recurrence ... See more keywords
On the inverse eigenvalue problem for block graphs
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DOI: 10.1016/j.laa.2021.09.008
Abstract: The inverse eigenvalue problem of a graph G aims to find all possible spectra for matrices whose (i, j)-entry, for i 6= j, is nonzero precisely when i is adjacent to j. In this work,… read more here.
Keywords: graphs; eigenvalue problem; block graphs; inverse eigenvalue ... See more keywords
Numerical resolution of the global eigenvalue problem for the gyrokinetic-waterbag model in toroidal geometry
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DOI: 10.1017/s0022377817000228
Abstract: In this paper, we present two codes for the linear stability analysis of the ion temperature gradient instability in toroidal geometry using a gyrokinetic multiwaterbag model for ion dynamics. The first one solves the linearized… read more here.
Keywords: eigenvalue problem; waterbag model; model; geometry ... See more keywords
Pseudodiagonalization Method for Accelerating Nonlinear Subspace Diagonalization in Density Functional Theory.
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DOI: 10.1021/acs.jctc.2c00166
Abstract: In density functional theory, each self-consistent field (SCF) nonlinear step updates the discretized Kohn-Sham orbitals by solving a linear eigenvalue problem. The concept of pseudodiagonalization is to solve this linear eigenvalue problem approximately and specifically… read more here.
Keywords: pseudodiagonalization; theory; functional theory; eigenvalue problem ... See more keywords
The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach
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DOI: 10.1080/10586458.2020.1727799
Abstract: The problem of determining $DS_n$, the complex numbers that occur as an eigenvalue of an $n$-by-$n$ doubly stochastic matrix, has been a target of study for some time. The Perfect-Mirsky region, $PM_n$, is contained in… read more here.
Keywords: problem computational; single eigenvalue; doubly stochastic; problem ... See more keywords