André C. M. Ran

A fixed point theorem in partially ordered sets and some applications to matrix equations

André C. M. Ran, Martine Reurings · Proceedings of the American Mathematical Society · 2003 · 1.4K citations · Full text

Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q

Jacob Engwerda, André C. M. Ran, Arie L. Rijkeboer · Linear Algebra and its Applications · 1993 · 192 citations

Positive Definite Solution, Sufficient Conditions, Matrix Theory +1

Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems

André C. M. Ran, Rob Vreugdenhil · Linear Algebra and its Applications · 1988 · 158 citations

Discrete-time Systems, Algebraic Riccati Equations, Discrete Dynamical System +5

On an Iteration Method for Solving a Class of Nonlinear Matrix Equations

Salah M. El‐Sayed, André C. M. Ran · SIAM Journal on Matrix Analysis and Applications · 2002 · 117 citations

Numerical Analysis, Nonlinear Matrix Equations, Matrix Analysis +9

Optimal Hankel Norm Model Reductions and Wiener–Hopf Factorization I: The Canonical Case

Joseph A. Ball, André C. M. Ran · SIAM Journal on Control and Optimization · 1987 · 114 citations

Numerical Analysis, Spectral Theory, Discrete Time Systems +15