Newton's method for the quadratic matrix equation
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Publication:858853
DOI10.1016/j.amc.2006.06.014zbMath1117.65071OpenAlexW1969228025MaRDI QIDQ858853
Publication date: 11 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.014
convergencenumerical resultsiteration methodnonlinear matrix equationquadratic eigenvalue problemQuadratic matrix equation
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Related Items (6)
About a fixed‐point‐type transformation to solve quadratic matrix equations using the Krasnoselskij method ⋮ Two kinds of condition numbers for the quadratic matrix equation ⋮ Implicit and fractional-derivative operators in infinite networks of integer-order components ⋮ Thompson metric method for solving a class of nonlinear matrix equation ⋮ An iterative method to solve a nonlinear matrix equation ⋮ Newton's iterative method to solve a nonlinear matrix equation
Uses Software
Cites Work
- The Riccati equation
- A class of iteration methods based on the Moser formula for nonlinear equations in Markov chains
- A class of factorization update algorithm for solving systems of sparse nonlinear equations
- Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches
- A Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems
- Algorithm 598
- Numerical Solution of a Quadratic Matrix Equation
- The Algebraic Theory of Matrix Polynomials
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Numerical analysis of a quadratic matrix equation
- Newton's method under weak Kantorovich conditions
- On a quadratic matrix equation associated with an M-matrix
- Iterative Solution of Nonlinear Equations in Several Variables
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