Error analysis of signal zeros from a related companion matrix eigenvalue problem

✍ Scribed by F.S.V. Bazán; Ph.L. Toint

• Book ID: 104349232
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 363 KB
• Volume: 14
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(01)00056-8

✦ Synopsis

An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed.