A REAL-VALUED SPECTRAL DECOMPOSITION OF THE UNDAMPED GYROSCOPIC SYSTEM WITH APPLICATIONS

被引：10

作者：

Jia, Zhigang ^{[2
]}

Wei, Musheng ^{[1
]}

机构：

[1] Shanghai Normal Univ, Sci Comp Key Lab Shanghai Univ, Coll Math & Sci, Shanghai 200234, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2011年 / 32卷 / 02期

关键词：

gyroscopic system; spectral decomposition; real standard pair; skew-Hankel matrix; quadratic inverse eigenvalue problem; no spill-over eigenvalue updating problem; QUADRATIC EIGENVALUE PROBLEM; VIBRATING SYSTEMS; NUMERICAL-METHOD;

D O I：

10.1137/100792020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an undamped gyroscopic system G(lambda) = M lambda(2) + C lambda + K with M, K symmetric and C skew-symmetric, this paper presents a real-valued spectral decomposition of G(lambda) by a real standard pair (X, T) and a skew-symmetric parameter matrix S. When T is assumed to be a block diagonal matrix, the parameter matrix S has a special structure. This spectral decomposition is applied to solve the quadratic inverse eigenvalue problem and the no spill-over quadratic eigenvalue updating problem.

引用

页码：584 / 604

页数：21

共 50 条

[1] Real-valued GCS classifier system
Cielecki, Lukasz
Unold, Olgierd
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2007, 17 (04) : 539 - 547
[2] Spectral decomposition for the gyroscopic quadratic pencils and its applications
Mao, Xiaobin
Yi, Kan
Huang, Songhua
Xu, Xin
[J]. 2019 11TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC 2019), VOL 2, 2019, : 276 - 279
[3] Improving the performance of cyclic ESPRIT via real-valued decomposition
Liu, ZG
Wang, JK
Xue, YB
[J]. INTERNATIONAL SYMPOSIUM ON COMMUNICATIONS AND INFORMATION TECHNOLOGIES 2005, VOLS 1 AND 2, PROCEEDINGS, 2005, : 763 - 766
[4] Multi-pattern real-valued spectral associative memories
Spencer, RG
[J]. IJCNN'01: INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-4, PROCEEDINGS, 2001, : 1180 - 1185
[5] Optimal transformations and the spectral envelope for real-valued time series
McDougall, AJ
Stoffer, DS
Tyler, DE
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 57 (02) : 195 - 214
[6] Fuzzification of real-valued functions based on the form of decomposition theorem: applications to the differentiation and integrals of fuzzy-number-valued functions
Wu, Hsien-Chung
[J]. SOFT COMPUTING, 2019, 23 (16) : 6755 - 6775
[7] Fuzzification of real-valued functions based on the form of decomposition theorem: applications to the differentiation and integrals of fuzzy-number-valued functions
Hsien-Chung Wu
[J]. Soft Computing, 2019, 23 : 6755 - 6775
[8] Information structures in an incomplete real-valued information system
Zeng, Jiasheng
He, Jiali
Chen, Rongping
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (06) : 5305 - 5318
[9] Real-Valued ACS Classifier System: A Preliminary Study
Unold, Olgierd
Mianowski, Marcin
[J]. PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON COMPUTER RECOGNITION SYSTEMS, CORES 2015, 2016, 403 : 203 - 211
[10] Preliminary tests of a real-valued Anticipatory Classifier System
Kozlowski, Norbert
Unold, Olgierd
[J]. PROCEEDINGS OF THE 2019 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE COMPANION (GECCCO'19 COMPANION), 2019, : 1289 - 1294

← 1 2 3 4 5 →