Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root - MaRDI portal

A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root

From MaRDI portal
Publication:3642842

DOI10.1137/070694351zbMath1176.65054OpenAlexW1963502665MaRDI QIDQ3642842

Bruno Iannazzo

Publication date: 6 November 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070694351



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (35)

Roots in operator and Banach algebrasOn semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spacesVolume constrained 2-phase segmentation method utilizing a linear system solver based on the best uniform polynomial approximation of \(x^{- 1/2}\)On Newton's method and Halley's method for the principal \(p\)th root of a matrixOn a new family of high‐order iterative methods for the matrix pth rootMonotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th rootFast verified computation for the matrix principal \(p\)th rootIteration functions for \(p\)th roots of complex numbersRegions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th rootThe Padé iterations for the matrix sign function and their reciprocals are optimalApproximating the matrix sign function using a novel iterative methodA novel iterative method for polar decomposition and matrix sign functionOn stochasticity preserving methods for the computation of the matrix \(p\)th rootOn iterative algorithms for the polar decomposition of a matrix and the matrix sign functionExplicit \(p\)-dependent convergence regions of Newton's method for the matrix \(p\)th rootA Padé family of iterations for the matrix sector function and the matrix p th rootA sixth-order iterative method for approximating the polar decomposition of an arbitrary matrixA General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite MatricesThe dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector functionA fast convergent numerical method for matrix sign function with application in SDEsA Padé family of iterations for the matrix sign function and related problemsA residual recurrence for Halley's method for the matrix \(p\)th rootOn \(p\)th roots of stochastic matricesOn the convergence of Schröder iteration functions for pth roots of complex numbersThe palindromic cyclic reduction and related algorithmsUnnamed ItemA binary powering Schur algorithm for computing primary matrix rootsA study of Schröder's method for the matrix \(p\)th root using power series expansionsRational minimax iterations for computing the matrix \(p\)th rootRational approximations to fractional powers of self-adjoint positive operatorsExplicit convergence regions of Newton's method and Chebyshev's method for the matrix \(p\)th rootIterative methods for finding commuting solutions of the Yang-Baxter-like matrix equationSome matrix iterations for computing matrix sign functionAn Algorithm for the Matrix Lambert $W$ FunctionOn monotone Markov chains and properties of monotone matrix roots




This page was built for publication: A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root