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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...
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...
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 ...
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...
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...
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...
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...
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. ...
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...
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 ...
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 ...
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...
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...

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