Some Problems in Large Scale Non-Hermitian Matrix Computations

Zhongxiao Jia
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Zhongxiao Jia: Tsinghua University, Department of Mathematical Sciences

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 231-241 from Springer

Abstract: Abstract Large scale matrix eigenproblems arise in a lot of disciplines and scientific and engineering computations. Efficient and reliable numerical methods for solving them are extremely important as they play a vital role in innumerable scientific applications. In this paper, we attempt to review state of the art of theory and algorithms of commonly used numerical methods for large scale nonsymmetric (non-Hermitian) eigenproblems. We finally pose some challenging problems on the existing three kinds of popular solvers: orthogonal projection methods, oblique projection methods and refined projection methods.

Keywords: Large scale matrix; eigenproblem; projection method; Ritz value; Ritz vector; refined Ritz vector (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_17

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DOI: 10.1007/978-1-4615-0113-8_17

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