Results 251 to 260 of about 111,307 (278)

Singular Values, Exterior Calculus and Logarithmic Norms

2020
Global stability and dimension properties of nonlinear differential equations essentially depend on the contraction properties of k-parallelopipeds or k-ellipsoids under the flow of the associated variational equations. The goal of this second chapter is to develop some elements of multilinear algebra for the investigation of linear differential ...
Nikolay Kuznetsov, Volker Reitmann
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Minimization of norms and logarithmic norms by diagonal similarities

Computing, 1972
It is a commonly occurring problem to find “good” norms ‖·‖ or logarithmic norms μ(·) for a given matrix in the sense that they should be close to respectively the spectral radius ρ(A) and the spectral abscissa α(A). Examples may be the certification thatA is convergent, i.e. ρ(A)≤‖A‖
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Higher Order Logarithmic Derivatives of Matrices in the Spectral Norm

SIAM Journal on Matrix Analysis and Applications, 2003
Summary: For the spectral norm \(\|.\|\) on \(n\times n\) complex matrices, we derive the first three right-hand derivatives of \(\phi(t)= \|e^{tA}\|\) at \(t=0\). The first one is the well-known logarithmic derivative. This study was inspired by a recent result by \textit{L. Kohaupt} [ibid. 21, No. 2, 382--389 (1999; Zbl 0944.34045)], where the second
Bhatia, Rajendra, Elsner, Ludwig
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The Logarithmic Asymptotic Expansions for the Norms of Evaluation Functionals

Siberian Mathematical Journal, 2005
Summary: Let \(\mu\) be a compactly supported finite Borel measure in \(\mathbb C\), and let \(\Pi_n\) be the space of holomorphic polynomials of degree at most \(n\) furnished with the norm of \(L^2(\mu)\). We study the logarithmic asymptotic expansions of the norms of the evaluation functionals that relate to polynomials \(p\in\Pi_n\) their values at
Dovgoshei, A. A., Abdullaev, Fahreddin, Cüçükaslan, Mehmet   +2 more
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Every norm is not logarithmically convex

IEEE Transactions on Systems Science and Cybernetics, 1969
This correspondence relates to the remark in a recent paper by D.G. Luenberger [ibid., vol. SSC-4, pp. 182-188, July 1968] that any norm defined on a vector space is a real convex function. Although this is a well-known fact in mathematics, a less well-known fact is that every logarithmically convex function is positive and convex, but not conversely ...
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Logarithmic matrix norms in motion stability problems

Journal of Applied Mathematics and Mechanics, 2008
Abstract The problem of the stability of the motions of mechanical systems, described by non-linear non-autonomous systems of ordinary differential equations, is considered. Using the logarithmic matrix norm method, and constructing a reference system, the sufficient conditions for the asymptotic and exponential stability of unperturbed motion and ...
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The spectrum of integral operators with logarithmically divergent norm

Journal of Physics A: Mathematical and General, 1993
Summary: The spectrum and general characteristics of the solutions of non-Fredholm integral equations, which arise in the description of relativistic bound states, is investigated. An efficient method of numerical solution of such equations is suggested, which allows one to obtain accurate values of the solution for all physically relevant values of ...
Shapoval, D. V., Simenog, I. V., Sitenko, O. G., Darewych, J. W.   +3 more
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Some properties of the Lozinskii logarithmic norm

Differential Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms

53rd IEEE Conference on Decision and Control, 2014
In this paper, we sketch recent results for synchronization in a network of identical ODE models which are diffusively interconnected. In particular, we provide estimates of convergence of the difference in states between components, in the cases of line, complete, and star graphs, and Cartesian products of such graphs.
Zahra Aminzare, Eduardo D. Sontag
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Integral Means and Bmoa-Norms of Logarithms of Univalent Functions

Journal of the London Mathematical Society, 1986
Let S be a class of functions f analytic and univalent in \(\{| z|
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