Compute Square Root of Matrix Compute the square root of this matrix. Because these numbers are not symbolic objects, you get floating-point results. A = [2 -2 0; -1 3 0; -1/3 5/3 2]; X = sqrtm(A) X = 1.3333 -0
[X,alpha,condx] = sqrtm(A)returns stability factoralphaand an estimate of the matrix square root condition number ofXin 1-norm,condx. The residualnorm(A-X^2,1)/norm(A,1)is bounded approximately byn*alpha*epsand the 1-norm relative error inXis bounded approximately byn*alpha*condx*eps...
The usual square root S of a matrix M is a matrix with S*S=M, and you get this S via S = sqrtm(M). If you want to define a matrix S with S'*S = M as the square root of M, you can do this. Then S = chol(M). ...
F = funm(A,f) computes the function f(A) for the square matrix A. For details, see Matrix Function. exampleExamples Matrix Cube Root Find matrix B, such that B3 = A, where A is a 3-by-3 identity matrix. To solve B3 = A, compute the cube root of the matrix A using the fun...
Toward the final purpose of field programmable gate array (FPGA) and application-specific integrated circuit (ASIC) realizations, the MATLAB Simulink modeling and verifications of such ZD models are further investigated to solve for time-varying matrix square root. Both theoretical analysis and modeling...
Toward the final purpose of field programmable gate array (FPGA) and application-specific integrated circuit (ASIC) realizations, the MATLAB Simulink modeling and verifications of such ZD models are further investigated to solve for time-varying matrix square root. Both theoretical analysis and modeling...
Matrix square root and its gradient Overview This repository contains Python and Matlab code for computing the matrix square root (ZZ = A) and its gradient using various techniques on the GPU. For the forward computation (the square root of a matrix), SVD and iterative methods are implemented...
... and so on. Note that we don't need to take the square root of anything if we square the radius. Assuming radius is a constant, we can precalculate the square and avoid needing to make the extra calculation if (for instance) the distance is being tested many times in a loop. ...
Square matrix, specified as a symbolic matrix. Output Arguments collapse all Eigenvalues, returned as a symbolic column vector or column vector of symbolic numbers. Right eigenvectors, returned as a square symbolic matrix. The columns ofVare the right eigenvectors ofA. ...
Any matrix with no nonpositive real eigenvalues has a unique square root for which every eigenvalue lies in the open right half-plane. A link between the matrix sign function and this square root is exploited to derive both old and new iterations for the square root from iterations for the...