A note on algebraic Riccati equations associated with reducible singular M-matrices

2015/03/24 by Di Lu, Lu, Di, Chun‐Hua Guo +1
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1503.07226

openalex publication_date 2015/03/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove a conjecture about the minimal nonnegative solutions of algebraic Riccati equations associated with reducible singular M-matrices. The result enhances our understanding of the behaviour of doubling algorithms for finding the minimal nonnegative solutions.

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