Abstract | ||
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As for a matrix A we examine two problems: (a) To find the upper and the lower bound of Cond2(A) in terms of two coefficients p1 and pn-1 (see Section 2) of the characteristic polynomial of AAT, and (b) proof of existence of a matrix A having considerably larger condition number than that obtained in the previous papers. The connection between (a) and (b) is illustrated. |
Year | DOI | Venue |
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2013 | 10.1109/ECCTD.2013.6662260 | Circuit Theory and Design |
Keywords | Field | DocType |
polynomial matrices,Cond2(A) lower bound,Cond2(A) upper bound,characteristic polynomial,extremely ill-conditioned matrix condition number | Characteristic polynomial,Discrete mathematics,Condition number,Matrix analysis,Polynomial matrix,Matrix (mathematics),Upper and lower bounds,Matrix polynomial,Mathematics | Conference |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tetsuo Nishi | 1 | 103 | 15.66 |
Siegfried M. Rump | 2 | 774 | 102.83 |
Shin'ichi Oishi | 3 | 280 | 37.14 |