Matrix Theory
Dr. H. Sekigawa, NTT Communication Science Laboratories Nippon Telegraph and Telephone Corporation, Japan. Es wird die klassische Perron-Frobenius Theorie erweitert auf allgemeine reelle und komplexe Matrizen. Daraus ergeben sich vielfältige Zusammenhänge mit klassischen Problemen der Matrixtheorie, der Sensitivitätsanalyse numerischer Algorithmen sowie der Kontroll- und Regelungstheorie. Publikationen - 4-04.150V
S.M. Rump. Perron-Frobenius Theory for Complex Matrices. Linear Algebra and its Applications (LAA), 363:251-273, 2003. - 4-04.151V
S.M. Rump. On P-Matrices, Linear Algebra and its Applications (LAA), 363:237-250, 2003. - 4-04.154V
S. M. Rump. Optimal scaling for p-norms and componentwise distance to singularity. IMA Journal of Numerical Analysis (IMAJNA), 23:1-9, 2003. - 4-04.166V
S.M. Rump. On Nishi's conditions for the Omega-property. IEICE Transactions on Fundamentals Communications Electronics Information and Systems, E86(9):2357-2359, 2003. - 4-04.167V
S.M. Rump. Structured Perturbations Part I: Normwise Distances. SIAM J. Matrix Anal. Appl. (SIMAX), 25(1):1-30, 2003. - 4-04.168V
S.M. Rump. Structured Perturbations Part II: Componentwise Distances. SIAM J. Matrix Anal. Appl. (SIMAX), 25(1):31-56, 2003. - 4-04.185V
S.M. Rump. Eigenvalues, pseudospectrum and structured perturbations. Linear Algebra and its Applications (LAA), 413:567-593, 2006. - 4-04.194V
S. Friedland, D. Hershkowitz, and S.M. Rump. Positive entries of stable matrices. Electronic Journal of Linear Algebra (ELA), 12:17-24, 2005. - 4-04.203V
S.M. Rump and H. Sekigawa. The ratio between the Toeplitz and the unstructured condition number. accepted for publication 2008, 2006. - 4-04.204V
S.M. Rump. Verification of Positive Definiteness. BIT Numerical Mathematics, 46:433-452, 2006.
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