Explicit formulas for the constituent matrices. Application to the matrix functions

DOI10.1515/spma-2015-0004zbMath1315.15005OpenAlexW758363146MaRDI QIDQ2344231

Mustapha Rachidi, R. Ben Taher

Publication date: 13 May 2015

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2015-0004

zbMATH Keywords

matrix functionBinet formulageneralized Fibonacci sequencesmatrix logarithmmatrix \(p\)-th rootconstituents matrices

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrix exponential and similar functions of matrices (15A16)

Related Items (2)

An effective recursive formula for the Frobenius covariants in matrix functions ⋮ Generalized Tetranacci hybrid numbers

Cites Work

• On explicit formulas of the principal matrix \(p\)th root by polynomial decompositions
• Interpolation approach to the spectral resolution of square matrices
• On explicit formulas for the principal matrix logarithm
• Practical computation of matrix functions
• On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case
• Functions of matrices
• The Missing Spectral Basis in Algebra and Number Theory
• Divided Differences and Linearly Recursive Sequences
• Fibonacci-Horner decomposition of the matrix exponential and the fundamental system of solutions
• On the Existence and Uniqueness of the Real Logarithm of a Matrix
• The Equivalence of Definitions of a Matric Function
• Linear recurrence relations in the algebra of matrices and applications
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