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Block Cipher Invariants as Eigenvectors of Correlation Matrices
invariant subspace attack nonlinear invariant attack linear cryptanalysis
2018/8/21
A new approach to invariant subspaces and nonlinear invariants is developed. This results in both theoretical insights and practical attacks on block ciphers. It is shown that, with minor modification...
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
Eigenvalues, Eigenvectors and Symmetrization of the Magneto-Hydrodynamic (MHD) Equations
Eigenvalues Eigenvectors MHD
2015/6/23
Eigenvalues, Eigenvectors and Symmetrization of the Magneto-Hydrodynamic (MHD) Equations。
A limit theorem for scaled eigenvectors of random dot product graphs
limit theorem scaled eigenvectors random dot product graphs
2013/6/14
We prove a central limit theorem for the components of the largest eigenvector of the adjacency matrix of a one-dimensional random dot product graph whose true latent positions are unknown. In particu...
Matrices with Eigenvectors in a Given Subspace
Eigenvectors Kalman’s controllability condition determinantal varieties
2011/1/18
The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants of...
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Drazin-inverse DGMRES Krylov subspace Itera-tive method Eigenvector
2010/12/10
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Eigenvectors open XXZ ASEP models non-diagonal boundary conditions
2010/12/16
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relation...
Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices
Random matrix maximum likelihood likelihood ratio test orthogonallyinvariant submanifold curved exponential family
2010/3/17
This article presents maximum likelihood estimators (MLEs) and
log-likelihood ratio (LLR) tests for the eigenvalues and eigenvectors of
Gaussian random symmetric matrices of arbitrary dimension, whe...
In this paper we give a rigorous analysis of convergence of algorithms for finding eigenvectors of a real symmetric matrix. The algorithms are deterministic and our methods are very intuitive.
In-Phase Resonances with Generic Transmission Zeros and Eigenvectors of Hamiltonian in Models of Single Channel
Transport
quantum dot phase coherent transport in-phase resonance
2007/8/15
2001Vol.35No.1pp.121-124DOI:
In-Phase Resonances with Generic Transmission Zeros and Eigenvectors of Hamiltonian in Models of Single Channel
Transport
CHEN Tao,1 LIU Wen-Sheng1 a...
Solving Laguerre-Gauss Mode Eigenvectors and Eigenfunctions in
Entangled State Representation
Laguerre-Gauss modes entangled state representation
2007/8/15
2006Vol.45No.4pp.617-620DOI:
Solving Laguerre-Gauss Mode Eigenvectors and Eigenfunctions in
Entangled State Representation
FAN Hong-Yi1 and GAO Wei-Bo2
1 Department of M...