210 citations · 1k across the 42 of their papers we have counts for
4 papers · 1 filter
Alternating Anderson-Richardson method: An efficient alternative to preconditioned Krylov methods for large, sparse linear systems
Phanish Suryanarayana, Phanisri P. Pratapa, John E. Pask
We present the Alternating Anderson-Richardson (AAR) method: an efficient and scalable alternative to preconditioned Krylov solvers for the solution of large, sparse linear systems…
Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems
Yunfeng Cai, Zhaojun Bai, John E. Pask +1
By extending the classical analysis techniques due to Samokish, Faddeev and Faddeeva, and Longsine and McCormick among others, we prove the convergence of preconditioned steepest d…
A Projected Preconditioned Conjugate Gradient Algorithm for Computing Many Extreme Eigenpairs of a Hermitian Matrix
Eugene Vecharynski, Chao Yang, John E. Pask
We present an iterative algorithm for computing an invariant subspace associated with the algebraically smallest eigenvalues of a large sparse or structured Hermitian matrix A. We…
Efficient adaptive integration of functions with sharp gradients and cusps in n-dimensional parallelepipeds
S. E. Mousavi, J. E. Pask, N. Sukumar
In this paper, we study the efficient numerical integration of functions with sharp gradients and cusps. An adaptive integration algorithm is presented that systematically improves…