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Concise estimate of allowable perturbations for Schur property of real polynomials

✍ Scribed by T. Mori; H. Hokame


Book ID
103092115
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
166 KB
Volume
332
Category
Article
ISSN
0016-0032

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✦ Synopsis


A method is proposed to quickly calculate a lower bound for the size of stability-preservin9 perturbations in the coefficients of real Schur polynomials. The feature of the method is, above all, its simplicity : we have only to invert a certain real matrix and to sum up the modulus of all the entries.


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The property of bilinear transformation
✍ Koji Shiomi; Naohisa Otsuka; Hiroshi Inaba; Rokuya Ishii πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 94 KB

In this paper, Schur stability for a linear combination of polynomials is studied. In order to investigate this stability, we first study some important properties of the transformation matrix derived by using the bilinear transformation. And then, under certain assumptions, necessary and sufficient