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<図書>
Meromorphic functions and linear algebra

責任表示 Olavi Nevanlinna
シリーズ Fields Institute monographs ; 18
データ種別 図書
出版情報 Providence : American Mathematical Society , c2003
本文言語 英語
大きさ x, 136 p. : ill. ; 27 cm
概要 This monograph proposes that viewing the resolvent of a matrix as a meromorphic function rather than just analytic outside the eigenvalues provides new insight, and develops a new non-linear tool for ...inear algebra--the total logarithmic size of a matrix--which allows the author to generalization his uncle's first main theorem from the scalar valued case for matrix valued functions. The author then proves the robustness of the growth of the resolvent as a meromorphic function under low rank perturbations, and studies the growth of a meromorphic function by approximating rational functions. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報



理系図3F 数理独自 NEVA/15/1 2003
023212003002602

書誌詳細

一般注記 Includes bibliographical references (p. 135-136)
"This monograph is based on lectures ... fall of 1995 I gave ... at the Helsinki University of Technology and in October 2001 at the Field Institute in Tronto." - pref.
著者標目 *Nevanlinna, Olavi, 1948-
書誌ID 1001389903
ISBN 0821832476
NCID BA61508680
巻冊次 ISBN:0821832476
登録日 2009.11.02
更新日 2009.11.02