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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Andrei Knyazev (mathematician) ： ウィキペディア英語版 Andrei Knyazev (mathematician) Andrei (Andrew) Knyazev ((ロシア語:Андрей Владимирович Князев)) is a Russian-American mathematician. He graduated from the Faculty of Computational Mathematics and Cybernetics of Moscow State University under the supervision of Evgenii Georgievich D'yakonov ((ロシア語:Евгений Георгиевич Дъяконов)) in 1981 and obtained his PhD in Numerical Mathematics at the Russian Academy of Sciences under the supervision of Vyacheslav Ivanovich Lebedev ((ロシア語:Вячеслав Иванович Лебедев)) in 1985. He worked at the Kurchatov Institute in 1981-1983, and then to 1992 at the Institute of Numerical Mathematics ((ロシア語::ru:Институт вычислительной математики РАН)) of the Russian Academy of Sciences, headed by Gury Marchuk ((ロシア語:Гурий Иванович Марчук)). In 1993-1994, he held a visiting position at the Courant Institute of Mathematical Sciences of New York University, collaborating with Olof B. Widlund.〔 〕 From 1994 until retirement in 2014, he was a Professor of Mathematics at the University of Colorado Denver, supported by the National Science Foundation〔(Knyazev's NSF awards )〕 and United States Department of Energy grants. In 2012, he took a research position at the Mitsubishi Electric Research Laboratories (MERL).〔(Andrew Knyazev moved to MERL, 2012 )〕 His research at MERL was on novel algorithms for image and video processing, data sciences, material sciences, and optimal control, resulting in patents and publications. Knyazev was mostly known for his work in numerical solution of large sparse eigenvalue problems, particularly the iterative method LOBPCG.〔 〕 An implementation of LOBPCG was available in the public software package BLOPEX. A popular public electronic structure calculations package ABINIT used LOBPCG for wavefunction parallel optimization.〔(wfoptalg variable ABINIT ver. 7.0 )〕〔 〕 Knyazev collaborated with John Osborn 〔 〕 on the theory of the Rayleigh–Ritz method (see also 〔 〕) and with Nikolai Sergeevich Bakhvalov ((ロシア語:Николай Серге́евич Бахвалов)) on numerical solution of elliptic partial differential equations (PDE's) with large jumps in the main coefficients.〔 〕 ==References== 〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Andrei Knyazev (mathematician)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.