On Newton's method for Riccati equation solution
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The purpose of this note is to point out that the assumptions of two theorems of Kleinman concerning Newton's method for the Riccati equation can be weakened.
[1] D. Kleinman. On an iterative technique for Riccati equation computations , 1968 .
[2] B. Rust,et al. A simple algorithm for computing the generalized inverse of a matrix , 1966, CACM.
[3] D. Kleinman,et al. An easy way to stabilize a linear constant system , 1970 .