EXPLICIT INVERSE AND DETERMINANT OF PERTURBED TRIBAND TOEPLITZ MATRIX INVOLVING THE FIBONACCI NUMBERS

DOI10.17654/NT045010085zbMath1486.15007OpenAlexW3003442007WikidataQ114049255 ScholiaQ114049255MaRDI QIDQ5036060

Jiali Zhao, Zhao-lin Jiang

Publication date: 23 February 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt045010085

zbMATH Keywords

determinantFibonacci numbersinverseSherman-Morrison-Woodbury formulaperturbed triband Toeplitz matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Explicit group inverse of an innovative patterned matrix
• On the eigenvalues of some tridiagonal matrices
• Inversion of a tridiagonal Jacobi matrix
• Skew cyclic displacements and inversions of two innovative patterned matrices
• On the inverse and determinant of general bordered tridiagonal matrices
• Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices
• Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices
• Analytical inversion of general tridiagonal matrices
• Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix
• The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• Explicit inverses of some tridiagonal matrices
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