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Explicit Solution of the Inverse Eigenvalue Problem of Real Symmetric Matrices and Its Application to Electrical Network Synthesis
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-28
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
A novel procedure for explicit construction of the entries of real symmetric matrices with assigned spectrum and the entries of the corresponding orthogonal modal matrices is presented.
The inverse eigenvalue problem of symmetric matrices with some specific sign patterns (including hyperdominant one) is explicitly solved too.
It has been shown to arise thereof a possibility of straightforward solving the inverse eigenvalue problem of symmetric hyperdominant matrices with assigned nonnegative spectrum.
The results obtained are applied thereafter in synthesis of driving-point immittance functions of transformerless, common-ground, two-element-kind RLC networks and in generation of their equivalent realizations.
American Psychological Association (APA)
Kandić, D. B.& Reljin, B. D.. 2008. Explicit Solution of the Inverse Eigenvalue Problem of Real Symmetric Matrices and Its Application to Electrical Network Synthesis. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-25.
https://search.emarefa.net/detail/BIM-477618
Modern Language Association (MLA)
Kandić, D. B.& Reljin, B. D.. Explicit Solution of the Inverse Eigenvalue Problem of Real Symmetric Matrices and Its Application to Electrical Network Synthesis. Mathematical Problems in Engineering No. 2008 (2008), pp.1-25.
https://search.emarefa.net/detail/BIM-477618
American Medical Association (AMA)
Kandić, D. B.& Reljin, B. D.. Explicit Solution of the Inverse Eigenvalue Problem of Real Symmetric Matrices and Its Application to Electrical Network Synthesis. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-25.
https://search.emarefa.net/detail/BIM-477618
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477618