Results 41 to 50 of about 685,182 (317)
Fast and accurate con-eigenvalue algorithm for optimal rational approximations [PDF]
, 2012 The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a (near) optimally small $L^{\infty}$ error. Specifically, given a rational
Beylkin, G., Haut, T. S.
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Computing $\mu$-values for LTI Systems
AIMS Mathematics, 2021 In this article we consider certain linear time-varying control systems and investigate their stability using structured singular values ($\mu$-values). We use the low rank ordinary differential equations based methodology to compute the lower bounds for
Mutti-Ur Rehman +2 more
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Eigenvalue spectrum for single particle in a spheroidal cavity: A Semiclassical approach [PDF]
, 2002 Following the semiclassical formalism of Strutinsky et al., we have obtained the complete eigenvalue spectrum for a particle enclosed in an infinitely high spheroidal cavity.
A. K. JAIN +6 more
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Properties and Applications of a Symmetric Toeplitz Matrix Generated by
IEEE Access, 2023 Utilizing derivations for the properties of a symmetric Toeplitz matrix, we obtain analytical expressions for the performance evaluation of wireless communication systems using multiple antennas at the transmitter and/or the receiver, including those for
Ranjan K. Mallik, Ross Murch
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On determining the number of spikes in a high-dimensional spiked population model
, 2011 In a spiked population model, the population covariance matrix has all its eigenvalues equal to units except for a few fixed eigenvalues (spikes).
Passemier, Damien, Yao, Jian-Feng
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Axisymmetric Free Vibration of Layered Cylindrical Shell Filled with Fluid
International Journal of Applied Mechanics and Engineering, 2021 The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid.
M.D. Nurul Izyan +4 more
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Non-Hermitian oscillators with $T_{d}$ symmetry [PDF]
, 2014 We analyse some PT-symmetric oscillators with $T_{d}$ symmetry that depend on a potential parameter $g$. We calculate the eigenvalues and eigenfunctions for each irreducible representation and for a range of values of $g$.
Amore, Paolo +2 more
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The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
Axioms, 2023 The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman +3 more
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Eigenvalues and the diameter of graphs [PDF]
Linear and Multilinear Algebra, 1995 Using eigenvalue interlacing and Chebyshev polynomials we find upper bounds for the diameter of regular and bipartite biregular graphs in terms of their eigenvalues. This improves results of Chung and Delorme and Sole. The same method gives upper bounds for the number of vertices at a given minimum distance from a given vertex set.
van Dam, E.R., Haemers, W.H.
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Distribution of Eigenvalues and Upper Bounds of the Spread of Interval Matrices
Mathematics, 2023 The distribution of eigenvalues and the upper bounds for the spread of interval matrices are significant in various fields of mathematics and applied sciences, including linear algebra, numerical analysis, control theory, and combinatorial optimization ...
Wenshi Liao, Pujun Long
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