理化学研究所 計算科学研究センター

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第149回 第1部

第149回 第1部
日時: 2018年10月10日(水)、13:45 - 14:25
場所: R-CCS 6階講堂

・講演題目:Filter consists of a few resolvents to solve symmetric definite generalized eigenproblems
・講演者:村上弘 (首都大学東京 准教授)
※発表・スライド共に英語

講演要旨:

By using a filter, those eigenpairs of a symmetric definite generalized eigenproblem "A v = lambda Bv" are solved whose eigenvalues are in a specified real interval "[a,b]". In present study, the filter we use is a polynomial of the real part of a linear combination of a few resolvents. Applications of a few resolvents are given by solving corresponding systems of linear equations. We are to solve these systems of linear equations by some matrix decomposition methods. Since we use a few resolvents, the number of matrix decompositions required is also a few (2 to 4).