Efficient transformation for block-diagonalization

Kiyohiro Ikeda, Kazuo Murota

研究成果: Chapter

抄録

Use of block-diagonalization of the Jacobian matrix in bifurcation analysis of symmetric systems was demonstrated in Chap. 12. By taking advantage of the underlying geometrical structure of dihedral group symmetry, we give a systematic procedure to determine the transformation matrix for block-diagonalization and an efficient method to compute the block-diagonal form. Group representation theory in Chap. 7, theory of block-diagonalization in Chap. 8, and the application of these theories to the dihedral group in Chap. 9 form a foundation of this chapter.

本文言語English
ホスト出版物のタイトルApplied Mathematical Sciences (Switzerland)
出版社Springer
ページ361-402
ページ数42
DOI
出版ステータスPublished - 2019 1 1

出版物シリーズ

名前Applied Mathematical Sciences (Switzerland)
149
ISSN(印刷版)0066-5452
ISSN(電子版)2196-968X

ASJC Scopus subject areas

  • 応用数学

フィンガープリント

「Efficient transformation for block-diagonalization」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル