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Real fast structure-preserving algorithm for eigenproblem of complex Hermitian matrices

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Publication:473666
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DOI10.1155/2013/438320zbMath1299.65064OpenAlexW2043934001WikidataQ59027560 ScholiaQ59027560MaRDI QIDQ473666

Jiangzhou Lai, Lin-Zhang Lu

Publication date: 24 November 2014

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

Full work available at URL: https://doi.org/10.1155/2013/438320


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57)




Cites Work

  • Unnamed Item
  • A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process
  • A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
  • On Hamiltonian and symplectic Lanczos processes
  • Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation
  • Numerical solutions for large sparse quadratic eigenvalue problems
  • Canonical forms for Hamiltonian and symplectic matrices and pencils
  • A Hamiltonian $QR$ Algorithm
  • A Chart of Numerical Methods for Structured Eigenvalue Problems
  • Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods
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