Results 11 to 20 of about 1,217,124 (142)

Spectral Norm of Circulant-Type Matrices

open access: yesJournal of Theoretical Probability, 2009
The convergence in probability and in distribution of the spectral norm of scaled Toeplitz, circulant, reverse circulant, symmetric circulant and a class of \(k\)-circulant matrices is studied as the size of the matrices grows, when the input sequence is independent and identically distributed with finite moments of suitable order. Given its first row,
Bose, Arup   +2 more
core   +4 more sources

Boolean Functions with small Spectral Norm [PDF]

open access: yesGeometric and Functional Analysis, 2008
17 pp. Updated references.
Green, B, Sanders, T
openaire   +3 more sources

Fitting Spectral Decay with the $k$-Support Norm [PDF]

open access: yesCoRR, 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   +2 more
openaire   +4 more sources

Boolean functions with small approximate spectral norm

open access: yesDiscrete Analysis, 2022
Boolean functions with small approximate spectral norm, Discrete Analysis 2024:6, 22 pp. Let $G$ be a finite Abelian group and let $f:G\to\mathbb C$.
Tsun Ming Cheung   +3 more
doaj   +4 more sources

On the spectral norm of a doubly stochastic matrix and level-k circulant matrix

open access: yesSpecial Matrices
A simple proof using Birkhoff theorem is given for the result that the spectral norm of a doubly stochastic matrix is 1. We also show that the result generalizes the results of İpek, Bozkurt, and Jiang and Zhou on circulant matrices and rr-circulant ...
Jiang Zhao-Lin, Tam Tin-Yau
doaj   +2 more sources

The Ratios Between The Spectral Norm, The Numerical Radius And The Spectral Radius

open access: yesWorld Academy of Science, Engineering and Technology, 2010
{"references": ["B. Beckermann, S. A. Goreinov, and E. E. Tyrtyshnikov. Some Remarks\non the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl.,\n27(3):772-778, 2006.", "L. Caston, M. Savova, I. Spitkovsky, and N. Zobin. On eigenvalues\nand boundary curvature of the numerical range. Linear Algebra Appl.,\n322(1-3):129-140, 2001.", "M. Eiermann and O.
Kui Du
openaire   +6 more sources

On the spectral norm of Rademacher matrices [PDF]

open access: yesTransactions of the American Mathematical Society
We discuss two-sided nonasymptotic bounds for the mean spectral norm of nonhomogenous weighted Rademacher matrices. We show that the recently formulated conjecture holds up to log
Latała, Rafał
openaire   +3 more sources

On the generic behavior of the spectral norm [PDF]

open access: yesPacific Journal of Mathematics
15 pages; final version (containing minor revisions); published in Pacific J ...
Çineli, Erman   +2 more
openaire   +3 more sources

The spectral norm of random lifts of matrices [PDF]

open access: yesElectronic Communications in Probability, 2021
Electronic Communications in Probability ...
Bandeira, Afonso S., Ding, Yunzi
openaire   +3 more sources

Explicit Euclidean Norm, Eigenvalues, Spectral Norm and Determinant of Circulant Matrix with the Generalized Tribonacci Numbers

open access: yes, 2021
In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers.
Yüksel Soykan
core   +1 more source

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