The property of bilinear transformation matrix and Schur stability for a linear combination of polynomials

✍ Scribed by Koji Shiomi; Naohisa Otsuka; Hiroshi Inaba; Rokuya Ishii

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 94 KB
• Volume: 336
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(98)00039-8

✦ Synopsis

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 conditions for the linear combination of k polynomials to be Schur stable are obtained.