Spectral conditioning and pseudospectral growth
نویسندگان
چکیده
منابع مشابه
Spectral conditioning and pseudospectral growth
Using the language of pseudospectra, we study the behavior of matrix eigenvalues under two scales of matrix perturbation. First, we relate Lidskii’s analysis of small perturbations to a recent result of Karow on the growth rate of pseudospectra. Then, considering larger perturbations, we follow recent work of Alam and Bora in characterizing the distance from a given matrix to the set of matrice...
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Ben-yu Guo a,∗, Jie Shen b,c,∗∗ and Cheng-long Xu d a School of Mathematical Sciences, Shanghai Normal University, Shanghai, 200234, P.R. China E-mail: [email protected] b Department of Mathematics, Xiamen University, Xiamen, 361005, P.R. China c Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA E-mail: [email protected] d Department of Applied Mathematics, Tongji ...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2007
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-007-0080-3