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We are delighted to organize and host the second edition of the biennial Summer School on Random Matrices at the University of Michigan during June 18--29, 2018.We thank the Michigan Center for Applie...
Rajendra Bhatia has made remarkable contributions to Mathematics research and teaching, and to growth of Mathematics in India. He has been honored with various awards including the Medal for Young Sci...
2017年计算机视觉矩阵和张量因子分解方法研讨会（Workshop on Matrix and Tensor Factorization Methods in Computer Vision）
2017年 计算机视觉矩阵和张量因子分解方法 研讨会
2017/9/21
Matrix and tensor factorizations have a long history in machine learning. Being able to recover latent factors in the data and flexible enough to accommodate a large set of constraints and regularizat...
FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
Sweeping Preconditioner for the Helmholtz Equation:Hierarchical Matrix Representation
Sweeping Preconditioner Helmholtz Equation Hierarchical Matrix Representation
2015/7/14
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions of the variable-coefficient Helmholtz equation including veryhigh-frequency problems. The first cent...
Compressed Representation of Kohn−Sham Orbitals via Selected Columns of the Density Matrix
Compressed Representation Kohn− Sham Orbitals Selected Columns Density Matrix
2015/7/14
Given a set of Kohn−Sham orbitals from an insulating system, we present a simple, robust, efficient, and highly parallelizable method to construct a set of optionally orthogonal, localized basis...
Randomized Algorithms for Low-Rank Matrix Factorizations:Sharp Performance Bounds
Randomized Algorithms Low-Rank Matrix Factorizations Sharp Performance Bounds
2015/6/17
The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one...
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
A boundary value problem for Bitsadze equation in matrix form
Q-Holomorphic Bitsadze equation
2011/4/6
In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{if(z)w(z)\}=g1(z),Rew\overlinef(z)=g2(z) z \in \partial D in the unit disk of complex plane. ...
M/M/1 retrial queueing system with N-policy multiple vacation under non-pre-emtive priority service by matrix geometric method
Single Server Stochastic nature Low priority
2010/9/21
Consider a single server retrial queueing system with N-policy multiple vacation under non-pre-emptive priority service in which two types of customers arrive in a Poisson process with arrival rate λ1...
M/M/1 retrial queueing system with loss and feedback under non-pre-emptive priority service by matrix geometric method
Single Server Stochastic nature Low priority
2010/9/26
Consider a single server retrial queueing system with loss and feedback under Non-pre-emptive priority service in which two types of customers arrive in a Poisson process with arrival rate λ1 for low ...
M/M/1 retrial queueing system with negative arrival under Erlang-K service by matrix geometric method
Single Server Stochastic nature Erlang type service
2010/9/26
Consider a single server retrial queueing system in which customers arrive in a Poisson process with arrival rate λ and negative customers arrive at a rate ν which also follows a Poisson process. Let ...
Approximate low rank solution of generalized Lyapunov matrix equations via proper orthogonal decomposition
Generalized Lyapunov matrix equations approximation theory
2010/9/20
We generalized a direct method for generalized Lyapunov matrix equation, using proper orthogonal decomposition (POD). Such equations arise in model reduction of descriptor systems.
A classical linear group $Gtimes n$ matrices by simultaneous conjugation. Working over an infinite field of characteristic different from two we establish that the id...
Preconditioned global FOM and GMRES methods for solving Lyapunov matrix equations
Lyapunov matrix equations SSOR Preconditioning
2010/9/10
This paper presents, a preconditioned version of global FOM and GMRES methods for solving Lyapunov matrix equations AX + XAT = −BTB.These preconditioned methods are based on the global full orth...