Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations

[[abstract]]In this paper, we introduce the doubling transformation, a structure-preserving transformation for symplectic pencils, and present its basic properties. Based on these properties, a unified convergence theory for the structure-preserving doubling algorithms for a class of Riccati-type matrix equations is established, using only elementary matrix theory.[[fileno]]2010223010008[[department]]數學