The Geometric Approach for Computing the Joint Spectral Radius (original) (raw)

On the computational aspects of the theory of joint spectral radius

Victor S Kozyakin

Doklady Mathematics, 2009

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A relaxation scheme for computation of the joint spectral radius of matrix sets

Victor S Kozyakin

Journal of Difference Equations and Applications, 2011

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Computationally Efficient Approximations of the Joint Spectral Radius

Yurii Nesterov

SIAM Journal on Matrix Analysis and Applications, 2005

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Optimizing the Spectral Radius

Vladimir Protasov

SIAM Journal on Matrix Analysis and Applications, 2013

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On the accuracy of the ellipsoid norm approximation of the joint spectral radius

Yurii Nesterov

Linear Algebra and its Applications, 2005

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Iterative building of Barabanov norms and computation of the joint spectral radius for matrix sets

Victor S Kozyakin

Discrete and Continuous Dynamical Systems - Series B, 2010

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On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula

Victor S Kozyakin

Differential Equations and Dynamical Systems, 2010

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Fast and Precise Approximations of the Joint Spectral Radius

Yurii Nesterov

SSRN Electronic Journal, 2000

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A note on estimate of the spectral radius of symmetric matrices

Zdeněk Dostál

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Applications of the Joint Spectral Radius to Some Problems of Functional Analysis, Probability and Combinatorics

Vladimir Protasov

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Some Properties of the Spectral Radius of a Set of Matrices

Piotr Jurgaś

International Journal of Applied Mathematics and Computer Science, 2006

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Circles in the spectrum and the geometry of orbits: A numerical ranges approach

Yuri Tomilov

Journal of Functional Analysis, 2018

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Bounds for Generalized Distance Spectral Radius and the Entries of the Principal Eigenvector

Hilal A . Ganie

Tamkang Journal of Mathematics

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On the distance bounds for k prescribed eigenvalues of

S. Karbassi

2014

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Linear operators preserving the decomposable numerical radius

Ivan Filippenko

Linear and Multilinear Algebra, 1988

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Rank-one Approximation of Joint Spectral Radius of Finite Matrix Family

Mingqing Xiao

2011

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Exact computation of joint spectral characteristics of linear operators

Vladimir Protasov

2011

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Linear operators preserving the numerical range (radius) on triangular matrices

Graça Soares

Linear and Multilinear Algebra, 2001

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The Lyapunov exponent and joint spectral radius of pairs of matrices are hard—when not impossible—to compute and to approximate

John N. Tsitsiklis

Mathematics of Control, Signals, and Systems ( …, 1997

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On accuracy of approximation of the spectral radius by the Gelfand formula

Victor S Kozyakin

2009

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A characterization of the generalized spectral radius with Kronecker powers

Mingqing Xiao

Automatica, 2011

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The invariant subspace problem

Peter Rosenthal

The Mathematical Intelligencer, 1982

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On the joint spectral radius of nonnegative matrices

Vuong Bui

Linear Algebra and its Applications

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A note on spectral approximation of linear operations

M. Ahues

Applied Mathematics Letters, 1994

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Geometric spectral theory for compact operators

Michael Stessin

Transactions of the American Mathematical Society, 2015

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On the Bonsall cone spectral radius and the approximate point spectrum

Aljoša Peperko

Discrete and Continuous Dynamical Systems

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Commutator bounds for eigenvalues, with applications to spectralgeometry

Evans Harrell

Communications in Partial Differential Equations, 1994

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Spectral radius, numerical radius, and the product of operators

Chi-Kwong Li

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Joint/Generalized Spectral Radius: Recent Advances

Victor S Kozyakin

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The radii of sections of origin-symmetric convex bodies and their applications

KENAN TAŞ

Journal of Complexity, 2021

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A matrix realization of spectral bounds of the spectral radius of a nonnegative matrix

Yen Jen Cheng

arXiv: Combinatorics, 2017

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3 Geometric Spectral Theory for Compact Operators

Michael Stessin

2016

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The geometric basis of mimetic spectral approximations

Marc Gerritsma

2012

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Some generalizations of numerical radius on off-diagonal part of 2times22\times 22times2 operator matrices

Rahmatollah Lashkaripour

arXiv (Cornell University), 2017

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Linear Size Sparsifier and the Geometry of the Operator Norm Ball

Victor Felipe Reis

Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms

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