Results 71 to 80 of about 1,217,124 (142)

A Spectral Method of the Analysis of Linear Control Systems

International Journal of Applied Mathematics and Computer Science, 2019
A spectral method of the analysis of linear control systems is considered. Within the framework of this approach the σ-entropy of input signals and the σ-entropy norm of systems are introduced.
Kurdyukov Alexander P., Boichenko Victor A.   +1 more
doaj   +1 more source

A generalization of spectral radius, numerical radius, and spectral norm

, 1987
Let Cn be the linear space of complex column vectors with n coordinates associated with the usual inner product. Denote by Λk the set of all k-tuples of orthonormal vectors in Cn. Given a real number p⩾ 1and an n × n complex matrix A with eigenvalues λ1,…
Li, Chi-Kwong
core   +1 more source

The robust isolated calmness of spectral norm regularized convex matrix optimization problems

Open Mathematics
This article aims to provide a series of characterizations of the robust isolated calmness of the Karush-Kuhn-Tucker (KKT) mapping for spectral norm regularized convex optimization problems. By establishing the variational properties of the spectral norm
Yin Ziran, Chen Xiaoyu, Zhang Jihong
doaj   +1 more source

NORM/NORM-VET 2021: Usage of Antimicrobial Agents and Occurrence of Antimicrobial Resistance in Norway [PDF]

, 2022
Veterinærinstituttet overvåker forekomst av antibiotikaresistens i mikrober fra fôr, dyr og næringsmidler på oppdrag fra Mattilsynet. Dette gjøres i regi av NORM-VET, som er forkortelse for «Norsk overvåkingsprogram for antibiotikaresistens i mikrober ...
Elstrøm, Petter, Akselsen, Per Espen, Dansie, Live Storehagen, Andersen, Cecilie Torp, Caugant, Dominique Andree Yvette   +4 more
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Norm inequalities for functions of matrices

Heliyon
In this paper, we prove several spectral norm and unitarily invariant norm inequalities for matrices in which the special cases of our results present some known inequalities. Also, some of our results give interpolating inequalities which are related to
Ahmad Al-Natoor
doaj   +1 more source

Consistency Analysis of Spectral Regularization Algorithms

Abstract and Applied Analysis, 2012
We investigate the consistency of spectral regularization algorithms. We generalize the usual definition of regularization function to enrich the content of spectral regularization algorithms.
Yukui Zhu, Hongwei Sun
doaj   +1 more source

Subset selection for matrices in spectral norm

BIT Numerical Mathematics
27 pages, 2 ...
Ivan Kozyrev, Alexander Osinsky
openaire   +2 more sources

Exact spectral norm regularization for neural networks [Elektronisk resurs]

, 2022
We pursue a line of research that seeks to regularize the spectral norm of the Jacobian of the input-output mapping for deep neural networks. While previous work rely on upper bounding techniques, we provide a scheme that targets the exact spectral norm.
Engsner, Niklas,, Mostad, Petter,, Strannegård, Claes,, Johansson, Anton,   +3 more
core  

The faces of the unit balls of c-norms and c-spectral norms

Linear Algebra and its Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations

Advances in Mathematical Physics, 2013
We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis
Yin Yang, Yunqing Huang
doaj   +1 more source