On Some Eigenvector-Eigenvalue Relations

DOI10.1137/S089547989631072XzbMath0929.15008MaRDI QIDQ4243518

Graham M. L. Gladwell, Gene H. Golub, Sylvan Elhay, Yitshak M. Ram

Publication date: 18 May 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalueGreen's functioneigenvectorSturm-Liouville equationvibrating rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Sturm-Liouville theory (34B24) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Green's functions for ordinary differential equations (34B27)

Related Items (11)

Inverse eigenvalue problems for two special acyclic matrices ⋮ Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede ⋮ Reconstruction of Jacobi matrices with mixed spectral data ⋮ Solvability of an inverse spectral problem for Jacobi matrices with mixed given data ⋮ Generalized inverse eigenvalue problem for matrices whose graph is a path ⋮ A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices ⋮ The minimax inverse eigenvalue problem for matrices whose graph is a generalized star of depth 2 ⋮ Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs. ⋮ Unnamed Item ⋮ Control of Lateral Vibrations and Slopes at Desired Locations Along Vibrating Beams ⋮ Habitat destruction, habitat restoration and eigenvector\,-\,eigenvalue relations.

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