Decoupling of second-order linear systems by isospectral transformation

DOI10.1007/s00033-018-1030-xzbMath1403.34012OpenAlexW2897102007MaRDI QIDQ1991621

Daniel T. Kawano, Fai Ma, Rubens G. jun. Salsa

Publication date: 30 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/8c64s40z

zbMATH Keywords

diagonalizationsecond-order linear differential equationsquadratic matrix polynomialsisospectral systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30)

Related Items (3)

Spectral filters connecting high order systems ⋮ Coupling homogeneous chains of damped harmonic oscillators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Diagonalization of quadratic matrix polynomials
• General theory of regular matrix polynomials and band Toeplitz operators
• Filters connecting isospectral quadratic systems
• The Quadratic Eigenvalue Problem
• CO-ORDINATE TRANSFORMATIONS FOR SECOND ORDER SYSTEMS. PART I: GENERAL TRANSFORMATIONS
• Parametrizing Structure Preserving Transformations of Matrix Polynomials
• The Transformation of Second-Order Linear Systems into Independent Equations
• Matrix Analysis
• Analysis of Linear Nonconservative Vibrations
• On the Pseudospectra of Matrix Polynomials
• Vector Spaces of Linearizations for Matrix Polynomials

This page was built for publication: Decoupling of second-order linear systems by isospectral transformation