A NUMERICALLY STABLE ALGORITHM FOR THE INVERSE EIGENPROBLEM

被引：0
|
作者：
SHALABY, MA
机构：
[1] Dept. of Engineering Mathematics, Faculty of Engineering, Alexandria University, Alexandria
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1994年 / 52卷 / 1-2期
关键词：
INVERSE EIGENPROBLEM; UNITARY TRANSFORMATION; EIGENVALUE ASSIGNMENT;
D O I：
10.1080/00207169408804290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new algorithm for the inverse eigenproblem of a controllable pair (A, B) is presented. The proposed method is based on the controllability canonical form and the algorithm is numerically stable, non-iterative and produces a semi-robust least-squares solution. The method copes with both complex eigenvalues and real ones. Two illustrative example as well as comparative study are given.
引用
收藏
页码：55 / 64
页数：10
相关论文
共 50 条
  • [31] Inverse Toeplitz eigenproblem on personal computer networks
    Badía, JM
    Vidal, AM
    [J]. CONCURRENCY-PRACTICE AND EXPERIENCE, 2000, 12 (13): : 1275 - 1290
  • [32] A Numerically Stable Algorithm for Analytic Inverse Kinematics of 7-Degrees-of-Freedom Spherical-Rotational-Spherical Manipulators With Joint Limit Avoidance
    Wang, Junchen
    Lu, Chunheng
    Zhang, Yinghao
    Sun, Zhen
    Shen, Yu
    [J]. JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 2022, 14 (05):
  • [33] A numerically-stable trajectory generation and optimization algorithm for autonomous quadrotor UAVs
    Alqudsi, Yunes
    Makaraci, Murat
    Kassem, Ayman
    El-Bayoumi, Gamal
    [J]. ROBOTICS AND AUTONOMOUS SYSTEMS, 2023, 170
  • [34] A recursive, numerically stable, and efficient simulation algorithm for serial robots with flexible links
    Ashish Mohan
    S. K. Saha
    [J]. Multibody System Dynamics, 2009, 21 : 1 - 35
  • [35] A NUMERICALLY STABLE FAST TRANSVERSAL FILTERING ALGORITHM FOR POLE-ZERO MODELING
    MIN, BJ
    UN, CK
    [J]. INTERNATIONAL JOURNAL OF ELECTRONICS, 1993, 75 (02) : 251 - 268
  • [36] Numerically stable and efficient algorithm for vector channel parameter and frequency offset estimation
    Lee, CH
    Cha, JS
    Kwak, K
    Kim, JM
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 191 (02) : 179 - 193
  • [37] A recursive, numerically stable, and efficient simulation algorithm for serial robots with flexible links
    Mohan, Ashish
    Saha, S. K.
    [J]. MULTIBODY SYSTEM DYNAMICS, 2009, 21 (01) : 1 - 35
  • [38] A NUMERICALLY STABLE COMMUNICATION-AVOIDING \bfits-STEP GMRES ALGORITHM*
    Xu, Zan
    Alonso, Juan J.
    Darve, Eric
    [J]. SIAM Journal on Matrix Analysis and Applications, 2024, 45 (04) : 2039 - 2074
  • [39] NUMERICALLY STABLE ALGORITHM FOR POLE ASSIGNMENT OF LINEAR SINGLE-INPUT SYSTEMS
    PETKOV, PH
    CHRISTOV, ND
    KONSTATINOV, MM
    [J]. KYBERNETIKA, 1986, 22 (04) : 349 - 367
  • [40] The Inverse Eigenproblem for Complementary Submatrix of Generalized Jacobi Matrices
    Li, Zhi-bin
    Wang, Yun-fei
    [J]. PROCEEDINGS OF THE 2ND 2016 INTERNATIONAL CONFERENCE ON SUSTAINABLE DEVELOPMENT (ICSD 2016), 2017, 94 : 394 - 396
12345