Structured pseudospectrum and structured condition pseudospectrum of non-archimedean matrices
Jawad Ettayb
TL;DR
This paper introduces the concepts of structured pseudospectrum and structured condition pseudospectrum for non-archimedean matrices and matrix pencils, providing foundational results and illustrative examples.
Contribution
It is the first to define and analyze structured pseudospectra in the context of non-archimedean matrices and pencils, expanding spectral theory in this domain.
Findings
Defined structured pseudospectrum for non-archimedean matrices
Proved key properties of these pseudospectra
Provided illustrative examples
Abstract
In this paper, the structured pseudospectrum of non-archimedean matrices and structured pseudospectrum of non-archimedean matrix pencils are introduced. Many results are proved about them and we give a few examples.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Advanced Numerical Analysis Techniques