Invertibly convergent infinite products of matrices, with applications to difference equations

DOI10.1016/0898-1221(95)00162-RzbMath0846.40002MaRDI QIDQ1905896

William F. Trench

Publication date: 12 September 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

matricesdifference equationinfinite productinvertible convergence

Mathematics Subject Classification ID

Additive difference equations (39A10) Convergence and divergence of infinite products (40A20)

Related Items (12)

On aq-gamma and a q-beta matrix functions ⋮ On \(q\)-special matrix functions using quantum algebraic techniques ⋮ On the matrix \(q\)-Kummer equation and its solutions ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems ⋮ Biholomorphic Cryptosystems ⋮ Linear Asymptotic Equilibrium of Nilpotent Systems of Linear Difference Equations ⋮ On the basic hypergeometric matrix functions of two variables ⋮ On certainq-hypergeometric matrix functions of several variables and their matrixq-difference equations ⋮ On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices ⋮ On the matrix versions of q-zeta function, q-digamma function and q-polygamma function ⋮ Invertibly convergent infinite products of matrices

Cites Work

• Monodromy matrix for linear difference operators with almost constant coefficients
• Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions
• On a Theorem of Bocher in the Theory of Ordinary Linear Differential Equations

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