Results 41 to 50 of about 488 (114)

The first three largest values of the spectral norm of oriented bicyclic graphs [PDF]

Discrete Mathematics Letters, 2023
Kun Wei, Jianping Li
doaj   +1 more source

Fitting Spectral Decay with the $k$-Support Norm

CoRR, 2016
The spectral $k$-support norm enjoys good estimation properties in low rank matrix learning problems, empirically outperforming the trace norm. Its unit ball is the convex hull of rank $k$ matrices with unit Frobenius norm. In this paper we generalize the norm to the spectral $(k,p)$-support norm, whose additional parameter $p$ can be used to tailor ...
Andrew M. McDonald, Massimiliano Pontil, Dimitris Stamos   +2 more
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

On some properties of k-circulant matrices with the generalized Pell-Padovan numbers

Journal of Innovative Applied Mathematics and Computational Sciences
In 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
doaj   +1 more source

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
doaj   +1 more source

Matrix best approximation in the spectral norm

Linear Algebra and its Applications
We 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
openaire   +2 more sources

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

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
doaj   +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