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Morad Ahmadnasab

Morad Ahmadnasab

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId: 27367539200
HIndex:
Faculty: Faculty of Science
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Research

Title
Robustness assessment of QZ method by some unstable generalized eigenproblems
Type
Presentation
Keywords
Homotopic deviation-regular matrix pencils-generalized eigenvalue problem- backward stability
Year
2009
Researchers Morad Ahmadnasab

Abstract

When the index of a matrix pencil is larger than $1$, then its associated generalized eigenproblem is very unstable. In this work, we first emphasize on the performance of the computational way proposed by Homotopic Deviation theory (HD) to detect the index size of matrix pencils, then we study the backward stability of the QZ method using these unstable category of problems