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Computing top eigenpairs of Hermitizable matrix

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Publication:2048166
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DOI10.1007/s11464-021-0909-6zbMath1471.15003OpenAlexW3159296439MaRDI QIDQ2048166

Hong-Kui Pang, Chen Mu-Fa, Zhi-Gang Jia

Publication date: 5 August 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0909-6

zbMATH Keywords

algorithmHouseholder transformationisospectral matricesbirth-death matrixHermitizable matrixtop eigenpairs


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items

Computing partial quaternion eigenpairs with quaternion shift, Hermitizable, isospectral matrices or differential operators



Cites Work

  • Efficient initials for computing maximal eigenpair
  • Global algorithms for maximal eigenpair
  • Hermitizable, isospectral complex matrices or differential operators
  • Real tridiagonalization of Hermitian matrices by modified Householder transformation
  • On spectrum of Hermitizable tridiagonal matrices
  • Development of powerful algorithm for maximal eigenpair
  • Eigenvalues, Inequalities, and Ergodic Theory
  • Unitary Triangularization of a Nonsymmetric Matrix
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