A Computation Algorithm of Quasi-diagonal Form of Pencil Matrices

• SHIBASATO Koki

  Department of Electronic Control Engineering, Kumamoto National College of Technology

• SHIOTSUKI Tetsuo

  Department of Computer Science, Kumamoto University

• KAWAJI Shigeyasu

  Department of Systems Engineering and Information Science, Graduate School of Science and Technology, Kumamoto University

Bibliographic Information

Other Title

• ペンシル行列の擬似対角化アルゴリズム
• ペンシル ギョウレツ ノ ギジ タイ カクカ アルゴリズム

Abstract

Recently a pencil model has attracted attention again in view of behavioral approach. It is well known that a pencil can be transformed into a canonical form, but the traditional numerical computation method is implemented in terms of pivoting operation. In this paper, we make it clear what kind of mode the invariant subspace corresponds to, and propose a new algorithm to transform the pencil into the quasi-diagonal form. Since the method is based on geometric approach, it has an advantage of numerical stability.

Journal

• Transactions of the Institute of Systems, Control and Information Engineers

  Transactions of the Institute of Systems, Control and Information Engineers 13 (6), 258-267, 2000

  THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

Keywords

• pencil model
• implicit system
• mode decomposition
• canonical form
• behavior

Details

• CRID: 1390001205165186304
• NII Article ID: 10004473113
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.13.6_258
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 5370143
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5370143
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed