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Subspaces that minimize the condition number of a matrix
Matrix the condition number subspace subspace
2015/8/10
We define the condition number of a nonsingular matrix on a subspace, and consider the problem of finding a subspace of given dimension that minimizes the condition number of a given matrix. We give a...
Random Conley-Markov Connection Matrix for Gradient Flows
Gradient Flows Random Conley-Markov Connection Matrix
2015/4/3
Morse Decomposition for Dynamical Systems on
compact metric spaces : φ : R × X → X, initiated by
Morse, was established by Morse, Smale, ect by using
the gradient–like flows for Morse decomposition...
A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...
Abstract: We show that many existing divisibility sequences can be seen as sequences of determinants of matrix divisibility sequences, which arise naturally as Jacobian matrices associated to groups o...
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...
The 3rd International Workshop on Matrix Analysis and Applications（第三届国际矩阵分析与应用会议）
第三届 矩阵分析
2009/3/31
Purpose:
The workshop aims to stimulate research and interaction of mathematicians and scientists in all aspects of linear algebra and matrix analysis and their applications and to provide an opport...