A note on algebraic Riccati equations associated with reducible singular M-matrices
arXiv:1503.07226
Originality Synthesis-oriented
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Provides theoretical validation for numerical methods in a specialized matrix analysis domain.
The paper proves a conjecture on minimal nonnegative solutions of algebraic Riccati equations with reducible singular M-matrices, improving understanding of doubling algorithms for such solutions.
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.