IMA Journal of Mathematical Control and Information Advance Access originally published online on December 27, 2006
IMA Journal of Mathematical Control and Information 2007 24(4):473-482; doi:10.1093/imamci/dnl037
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Numerical stabilization of polynomial and matrix



Robotics Laboratory, Shenyang Institute of Automation, Academia Sinica, No.114, Nanta Avenue, Shenyang 110016, People's Republic of China
Email: jdhan{at}sia.cn
Email: zhjiang{at}sia.cn
Corresponding author Email: nyy{at}sia.cn
Received on March 6, 2006; Accepted on September 4, 2006
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.