An iterative method for solving the stable subspace of a matrix pencil and its application

Matthew M. Lin, Chun Yueh Chiang

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

This work is to propose an iterative method of choice to compute a stable subspace of a regular matrix pencil. This approach is to define a sequence of matrix pencils via particular left null spaces. We show that this iteration preserves a semigroup property depending only on the initial matrix pencil. Via this recursion relationship, we propose an accelerated iterative method to compute the stable subspace and use it to provide a theoretical result to solve the principal square root of a given matrix, both nonsingular and singular. We show that this method can not only find out the matrix square root, but also construct an iterative approach which converges to the square root with any desired order.

原文English
頁(從 - 到)1279-1298
頁數20
期刊Linear and Multilinear Algebra
66
發行號7
DOIs
出版狀態Published - 2018 七月 3

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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