A theorem for locating eigenvalues

DOI10.1007/BF02240150zbMath0554.65026OpenAlexW218397340MaRDI QIDQ760161

Xiaoshu Pan, Hua Dai

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02240150

zbMATH Keywords

eigenvalueHermitian matrixSturm sequencesleading principal minorssymmetric positive definite matrixdamped structural systemsdeterminant search method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• Unnamed Item
• Development of a unified numerical procedure for free vibration analysis of structures
• Eigenproblem solution of damped structural systems
• Eigenvalues of Ax =  Bx with band symmetric A and B
• Solution of quadratic matrix equations for free vibration analysis of structures
• On a combined sturm sequence and inverse iteration technique for eigenproblem solution of spinning structures

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