Explicit solution of the inverse eigenvalue problem of real symmetric matrices and its application to electrical network synthesis

DOI10.1155/2008/513582zbMath1155.15007OpenAlexW2006949888WikidataQ58646196 ScholiaQ58646196MaRDI QIDQ955978

Branimir D. Reljin, Dragan B. Kandić

Publication date: 24 November 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55065

zbMATH Keywords

inverse eigenvalue problemsymmetric matricesnonnegative spectrum

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Technical applications of optics and electromagnetic theory (78A55)

Cites Work

• Unnamed Item
• The numerically stable reconstruction of Jacobi matrices from spectral data
• Matrices with prescribed rows and invariant factors
• Matrices with prescribed eigenvalues and principal submatrices
• The reconstruction of bordered-diagonal and Jacobi matrices from spectral data
• Matrices with prescribed characteristic polynomial and principal blocks. II
• Construction of a Jacobi matrix from spectral data
• Explicit construction of hyperdominant symmetric matrices with assigned spectrum
• On some inverse problems in matrix theory
• Ein inverses Eigenwertproblem
• Multiplikative inverse Eigenwertprobleme
• Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
• Matrices with Prescribed Characteristic Roots and Diagonal Elements
• Matrices with Prescribed Entries and Characteristic Polynomial
• A class of non‐canonic, driving‐point immittance realizations of passive, common‐ground, transformerless, two‐element‐kind RLC networks
• The application of polynomial matrix factorization in active network synthesis
• Inverse eigenvalue problems

This page was built for publication: Explicit solution of the inverse eigenvalue problem of real symmetric matrices and its application to electrical network synthesis