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function [X,k] = sqrtm_pd(A) %SQRTM_PD Square root of positive definite matrix via polar decomposition. % [X,K] = SQRT_PD(A) computes the Hermitian positive definite % square root X of the Hermitian positive definite matrix A. % It computes the Hermitian polar factor of the Cholesky factor of A. % K is the number of Newton polar iterations used. R = chol(A); [U,H,k] = polar_newton(R); X = H;