(1) I tried to optimize the existing function "sqrtm" in package "expm" with Rcpp. (2) Implemented another two algorithms computing the square root of matrix, Babylonian method and Denman Beavers ...
Abstract: This paper introduces a new algorithm for solving the matrix Riccati equation. Differential equations for the eigenvalues and eigenvectors of the solution matrix are developed in which their ...
Abstract: In this chapter, a finite‐time zeroing neural network (FTZNN) model is proposed and studied for finding the matrix square root. The FTZNN model fully utilizes a nonlinearly activated sign‐bi ...
A PyTorch function to compute the square root of a matrix with gradient support. The input matrix is assumed to be positive definite as matrix square root is not differentiable for matrices with zero ...
This paper derives a square-root information-type filtering algorithm for nonlinear multi-sensor fusion problems using the cubature Kalman filter theory. The resulting filter is called the square-root ...