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math.NA2018★ 1 cited
A study of Schröder's method for the matrix th root using power series expansions
Chun-Hua Guo, Di Lu
When is a matrix with all eigenvalues in the disk , the principal th root of can be computed by Schröder's method, among many other methods. In this paper we pr…
math.NA2015
A note on algebraic Riccati equations associated with reducible singular M-matrices
Di Lu, Chun-Hua Guo
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…