DETERMINANTS, INVERSES AND EIGENVALUES OF TWO SYMMETRIC POSITIVE DEFINITE MATRICES WITH PELL AND PELL-LUCAS NUMBERS

DOI10.17654/DE022020083zbMath1486.15016OpenAlexW3042539264MaRDI QIDQ5035358

Shuo Wang, Yan-peng Zheng, Zhao-lin Jiang

Publication date: 21 February 2022

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de022020083

zbMATH Keywords

eigenvaluedeterminantinversesymmetric matricessystems of linear equationsPell numberPell-Lucas number

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

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• Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries
• On the eigenvalues of some tridiagonal matrices
• Numerical Solution of the Eigenvalue Problem for Hermitian Toeplitz Matrices
• Pell and Pell–Lucas Numbers with Applications
• A Comparison of Several Methods for Inverting Large Symmetric Positive Definite Matrices

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