Results 61 to 70 of about 1,217,124 (142)
On the Upper Bounds for the Matrix Spectral Norm
CoRRWe consider the problem of estimating the spectral norm of a matrix using only matrix-vector products. We propose a new Counterbalance estimator that provides upper bounds on the norm and derive probabilistic guarantees on its underestimation. Compared to standard approaches such as the power method, the proposed estimator produces significantly ...
Alexey Naumov +3 more
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Families of Legendrians and Lagrangians with unbounded spectral norm
, 2022 Viterbo has conjectured that any Lagrangian in the unit co-disc bundle of a torus which is Hamiltonian isotopic to the zero-section satisfies a uniform bound on its spectral norm; a recent result by Shelukhin showed that this is indeed the case.
Dimitroglou Rizell, Georgios +2 more
core +1 more source
Spectral norms in spaces of polynomials
Dolomites Research Notes on Approximation, 2022 Summary: We consider a very general case of vector spaces of multivariate polynomials equipped with some norms. Between them we single out a class of spectral norms, that satisfy the condition \(\|P^k \| =\|P\|^k\) for all positive integer \(k\). In spaces of polynomials one can consider some linear operators that are usually unbounded, for example ...
Baran, Mirosław, Kowalska, Agnieszka
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers.
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu
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Weighted t-Schatten-p Norm Minimization for Real Color Image Denoising
IEEE Access, 2020 In this paper, to fully exploit the spatial and spectral correlation information, we present a new real color image denoising scheme using tensor Schatten-p norm (t-Schatten-p norm) minimization based on t-SVD to recover the underlying low-rank tensor ...
Min Liu, Xinggan Zhang, Lan Tang
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On some properties of k-circulant matrices with the generalized Pell-Padovan numbers
Journal of Innovative Applied Mathematics and Computational SciencesIn this paper, we investigate the properties of the $k$-circulant matrix generated by the generalized Pell--Padovan numbers. We derive explicit formulas for the sum of entries, the maximum column sum norm ($\Vert \cdot \Vert _{1}$), the maximum row sum ...
Yüksel Soykan, Erkan Taşdemir
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Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
Abstract and Applied Analysis, 2015 Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed.
Zhaolin Jiang, Yunlan Wei
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Stability criteria for neutral delay differential-algebraic equations with many delays
Advances in Difference Equations, 2019 In this paper the asymptotic stability is concerned for a class of neutral delay differential-algebraic equations (NDDAEs). We will present two criteria by evaluating a corresponding harmonic function on the boundary of a torus region.
Leping Sun
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Matrix best approximation in the spectral norm
Linear Algebra and its ApplicationsWe derive, similar to Lau and Riha, a matrix formulation of a general best approximation theorem of Singer for the special case of spectral approximations of a given matrix from a given subspace. Using our matrix formulation we describe the relation of the spectral approximation problem to semidefinite programming, and we present a simple MATLAB code ...
Vance Faber, Jörg Liesen, Petr Tichý
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The essential spectrum, norm, and spectral radius of abstract multiplication operators
Concrete Operators, 2023 Let EE be a complex Banach lattice and TT is an operator in the center Z(E)={T:∣T∣≤λIfor someλ}Z\left(E)=\left\{T:| T| \le \lambda I\hspace{0.33em}\hspace{0.1em}\text{for some}\hspace{0.1em}\hspace{0.33em}\lambda \right\} of EE. Then, the essential norm ‖
Schep Anton R.
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