×

zbMATH — the first resource for mathematics

On the convergence of Newton’s method for computing the matrix \(p\)-th root. (Chinese. English summary) Zbl 1413.65144
Summary: This paper considered the convergence region of Newton’s method for computing the principal \(p\)-th root of a matrix. We obtained a new convergence region by using the theory of complex analysis. It was shown that the Newton method converged to the principal \(p\)-th root quadratically when all the eigenvalues of the matrix located in this new region.
MSC:
65F30 Other matrix algorithms (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI