Elementary symmetric functions of two solvents of a quadratic matrix equation
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Publication:1006598
DOI10.1016/S0034-4877(08)80031-6zbMath1171.15012arXiv0804.2978MaRDI QIDQ1006598
Anna Napoli, Antonino Messina, Maria Anastasia Jivulescu
Publication date: 25 March 2009
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.2978
symmetric functionsdifference equationquadratic matrix equationsolventlinear second-order difference equations
Symmetric functions and generalizations (05E05) Matrix equations and identities (15A24) Additive difference equations (39A10)
Related Items (3)
An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati equations ⋮ Exact treatment of operator difference equations with nonconstant and noncommutative coefficients ⋮ On the functional equation \(x+f(y+f(x))=y+f(x+f(y))\). II
Cites Work
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- Spectral analysis of matrix polynomials. I. Canonical forms and divisors
- Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors
- On some mathematical principles in the linear theory of damped oscillations of continua I
- Noncommutative symmetric functions
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- Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches
- Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations
- An Iterative Solution of the Quadratic Equation in Banach Space
- The Algebraic Theory of Matrix Polynomials
- Solutions of Nonlinear Operator Equations
- Numerical analysis of a quadratic matrix equation
- Exact treatment of linear difference equations with noncommutative coefficients
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