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Newton Raphson Method for Matrix Completion
This paper proposes to use Newton-Raphson/Fisher Scoring iteration to debias/refine initial estimator of matrix completion. We prove that as long as the initial consistent estimator satisfies some loose convergence rate in Frobenius norm, we can get sharp convergence rates of the estimated factors and loadings after just one Newton-Raphson iteration ...Liangjun Su, Fa Wang
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Appendix I: Newton -Raphson method
1998The generalised Newton-Raphson method is an iterative algorithm for solving a set of simultaneous equations in an equal number of unknowns. At each iteration of the N-R method, the nonlinear problem is approximated by the linear-matrix equation. The linearising approximation can best be visualised in the case of a single-variable problem.
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Further Results on Newton-Raphson Method in Feasible Power-Flow for DC Distribution Networks
IEEE Transactions on Power Delivery, 2022Zhangjie Liu, Peng Wang, Mei Su
exaly
Improving Newton–Raphson Method for Nonlinear Equations by Modified Adomian Decomposition Method
Applied Mathematics and Computation, 2003Saeid Abbasbandy
exaly
On a Discrete Version of the Newton-Raphson Method
SIAM Journal on Numerical Analysis, 1966openaire +2 more sources
Simplified Newton–Raphson Power-Flow Solution Method
International Journal of Electrical Power and Energy Systems, 2010Thanatchai Kulworawanichpong
exaly