TY - GEN

T1 - A consideration on the condition number of extremely ill-conditioned matrices

AU - Nishi, Tetsuo

AU - Rump, Siegfried

AU - Oishi, Shin'Ichi

PY - 2013/12/1

Y1 - 2013/12/1

N2 - 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 AA T, 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.

AB - 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 AA T, 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.

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M3 - Conference contribution

AN - SCOPUS:84892651689

SN - 9783000437854

T3 - 2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings

BT - 2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings

T2 - 2013 European Conference on Circuit Theory and Design, ECCTD 2013

Y2 - 8 September 2013 through 12 September 2013

ER -