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IMA Journal of Mathematical Control and Information Advance Access published online on December 27, 2006
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnl037
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Numerical Stabilization of Polynomial and Matrix

JD Han{dagger}, Z Jiang{ddagger} and YY Nie§

Robotics Laboratory, Shenyang Institute of Automation, Academia Sinica, No.114, Nanta Avenue, Shenyang 110016, People's Republic of China

{dagger} Email: jdhan{at}sia.cn

{ddagger} Email: zhjiang{at}sia.cn

§ Corresponding author Email: nyy{at}sia.cn

Received on 6 March 2006; Accepted on 4 September 2006


  Abstract

In this paper, the conception of numerical stabilization, which is related to mantissa digits of computer and dimensions of system, is described; and several strategies for the numerical stabilization of polynomial and matrix are presented.

Keywords: numerical stabilization; criteria for stability; determining coefficients; Hessenberg form; Frobenius-like form.


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