Multiphase systolic algorithms for spectral decomposition

Biconjugate Decomposition Using ABS Algorithms

Design of Systolic arrays for QR Decomposition

In this paper we propose design of three systolic arrays to perform QR decomposition of a square matrix. Our first design is based on Given’s rotation method [1]. In contrast to the earlier designs [1], [2] based on this method, our design uses n(n − 1)/2 homogeneous PEs. Our next design is based on Householder method [4]. This method performs only (n− 1) square root operations in contrast to n...

Decomposition Algorithms for Distributionally

We study distributionally robust optimization (DRO) problems where the ambiguity 4 set is defined using the Wasserstein metric. We show that this class of DRO problems can be 5 reformulated as semi-infinite programs. We give an exchange method to solve the reformulated 6 problem for the general nonlinear model, and a central cutting-surface method for the convex case, 7 assuming that we have a ...

A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition ‎method‎

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...

biconjugate decomposition using abs algorithms