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The Algebraic Riccati Matrix Equation for Eigendecomposition of Canonical Forms
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The algebraic Riccati matrix equation is used for eigendecomposition of special structured matrices.
This is achieved by similarity transformation and then using the algebraic Riccati matrix equation to the triangulation of matrices.
The process is the decomposition of matrices into small and specially structured submatrices with low dimensions for easy finding of eigenpairs.
Here, we show that previous canonical forms I, II, III, and so on are special cases of the presented method.
Numerical and structural examples are included to show the efficiency of the present method.
American Psychological Association (APA)
Nouri, M.& Talatahari, Siamak. 2013. The Algebraic Riccati Matrix Equation for Eigendecomposition of Canonical Forms. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1008616
Modern Language Association (MLA)
Nouri, M.& Talatahari, Siamak. The Algebraic Riccati Matrix Equation for Eigendecomposition of Canonical Forms. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1008616
American Medical Association (AMA)
Nouri, M.& Talatahari, Siamak. The Algebraic Riccati Matrix Equation for Eigendecomposition of Canonical Forms. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1008616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008616