Spectral Analysis of Singular Matrix-Valued Sturm–Liouville Operators
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1357-3
Abstract: In the Hilbert space $$L_{W}^{2}([a,b);E)$$LW2([a,b);E) ($$-\infty0$$W>0) a space of boundary values of the symmetric singular matrix-valued Sturm–Liouville operator with maximal deficiency indices (2N, 2N) (in limit-circle case at singular end point b) is constructed. With the… read more here.
Keywords: sturm liouville; valued sturm; matrix; operator ... See more keywords
A Matrix-Valued Kuramoto Model
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DOI: 10.1007/s10955-019-02442-w
Abstract: The Kuramoto model is an important model for studying the onset of phase-locking in an ensemble of nonlinearly coupled phase oscillators. Each oscillator has a natural frequency (often taken to be random) and interacts with… read more here.
Keywords: kuramoto model; model; phase locked; matrix valued ... See more keywords
Determinants of block Hankel matrices for random matrix-valued measures
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DOI: 10.1016/j.spa.2019.02.010
Abstract: Abstract We consider the moment space M 2 n + 1 d n of moments up to the order 2 n + 1 of d n × d n real matrix measures defined on the… read more here.
Keywords: matrix valued; random matrix; hankel matrices; determinants block ... See more keywords
Interpolation of matrices and matrix-valued densities: The unbalanced case
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DOI: 10.1017/s0956792518000219
Abstract: We propose unbalanced versions of the quantum mechanical version of optimal mass transport that is based on the Lindblad equation describing open quantum systems. One of them is a natural interpolation framework between matrices and… read more here.
Keywords: valued densities; interpolation matrices; matrices matrix; interpolation ... See more keywords
Bispectrality and Time–Band Limiting: Matrix-valued Polynomials
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DOI: 10.1093/imrn/rny140
Abstract: The subject of time–band limiting, originating in signal processing, is dominated by the miracle that a naturally appearing integral operator admits a commuting differential one allowing for a numerically efficient way to compute its eigenfunctions.… read more here.
Keywords: time band; bispectrality; time; band limiting ... See more keywords
Convergence of the empirical spectral distribution of Gaussian matrix-valued processes
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DOI: 10.1214/18-ejp203
Abstract: For a given normalized Gaussian symmetric matrix-valued process $Y^{(n)}$, we consider the process of its eigenvalues $\{(\lambda_{1}^{(n)}(t),\dots, \lambda_{n}^{(n)}(t)); t\ge 0\}$ as well as its corresponding process of empirical spectral measures $\mu^{(n)}=(\mu_{t}^{(n)}; t\geq0)$. Under some mild… read more here.
Keywords: convergence; matrix valued; empirical spectral; process ... See more keywords
Extending the Scope of Robust Quadratic Optimization
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DOI: 10.1287/ijoc.2021.1059
Abstract: We derive computationally tractable formulations of the robust counterparts of convex quadratic and conic quadratic constraints that are concave in matrix-valued uncertain parameters. We do this for a broad range of uncertainty sets. Our results… read more here.
Keywords: robust quadratic; quadratic optimization; optimization; scope robust ... See more keywords
Radu-Miheţ Method for the Existence, Uniqueness, and Approximation of the ψ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers
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DOI: 10.3390/axioms10020063
Abstract: We apply the Radu–Miheţ method derived from an alternative fixed-point theorem with a class of matrix-valued fuzzy controllers to approximate a fractional Volterra integro-differential equation with the ψ-Hilfer fractional derivative in matrix-valued fuzzy k-normed spaces… read more here.
Keywords: valued fuzzy; matrix valued; mihe method; radu mihe ... See more keywords
New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS
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DOI: 10.3390/sym14122667
Abstract: By using a class of aggregation control functions, we introduce the concept of multiple-HU-OS1-stability and get an optimum approximation for a nonlinear single fractional differential equation (NS-ABC-FDE) with a Mittag–Leffler kernel. We apply an alternative… read more here.
Keywords: differential equation; matrix valued; fractional differential; stability ... See more keywords