On the Hölder continuity of matrix functions for normal matrices

Journal of Inequalities in Pure and Applied Mathematics

Volumn 10, Issue 4, 2009, Pages

  Wihler, Thomas P ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

H lder continuity; Matrix functions; Stability bounds

Indexed keywords

EID: 75349087448     PISSN: None     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. H. ARAKI and S. Yamagami, An inequality for Hilbert-Schmidt norm, Comm. Math. Phys., 81(1)(1981),89-96.
2. R. BHATIA, Matrix Analysis, Volume 169 of Graduate Texts in Mathematics, Springer-Verlag New York, 2007.
3. Z. CHEN and Z. Huan, On the continuity of the mth root of a continuous nonnegative definite matrix-valued function, J. Math. Anal. Appl., 209 (1997), 60-66.
4. D. GILBARG and N.S. Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics, Springer-Verlag Berlin, 2001 (Reprint of the 1998 edition).
5. G.H. GOLUB and C.F. van Loan, Matrix Computations, Johns Hopkins University Press, 3rd edition, 1996.
6. N.J. HIGHAM, Functions of Matrices, Society for Industrial Mathematics, 2008.