Numerical algorithms for undamped gyroscopic systems

DOI10.1016/S0898-1221(98)00241-7zbMath0944.70002MaRDI QIDQ1962939

Chern-Shuh Wang, Wen-Wei Lin, William R. Ferng

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

error boundsgeneralized eigenvalue problemHamiltonian matrixquadratic eigenvalue problemunstable equilibrium position\(J\)-Lanczos algorithmgyroscopic vibrating systempseudo skew symmetric Lanczos algorithm

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Motion of the gyroscope (70E05)

Related Items (1)

Structure preserving eigenvalue embedding for undamped gyroscopic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of linear conservative gyroscopic systems
• Complex shift and invert strategies for real matrices
• Vibration analysis of viscoelastic beams by separation of variables and model analysis
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• Über die Instabilität konservativer Systeme mit gyroskopischen Kräften
• The shift-inverted \(J\)-Lanczos algorithm for the numerical solutions of large sparse algebraic Riccati equations
• Use of indefinite pencils for computing damped natural modes
• Lanczos algorithm for the quadratic eigenvalue problem in engineering applications
• The Rayleigh-Ritz method for dissipative or gyroscopic systems
• A solution of the eigenproblem for undamped gyroscopic systems with the Lanczos algorithm
• Residual Bounds on Approximate Eigensystems of Nonnormal Matrices
• A Generalized Lanczos Scheme
• Overdamped and Gyroscopic Vibrating Systems
• Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum
• Standard forms of the eigenvalue problems associated with gyroscopic systems
• Alternative formulations for discrete gyroscopic eigenvalue problems
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
• The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration

This page was built for publication: Numerical algorithms for undamped gyroscopic systems