Title of article :
A Class of Kung–Traub-Type Iterative Algorithms for Matrix Inversion
Author/Authors :
ghorbanzadeh, mohammad imam reza international university - department of mathematics, ايران , mahdiani, katayoun islamic azad university, hamedan branch - department of applied mathematics, ايران , soleymani, fazlollah islamic azad university, hamedan branch - department of applied mathematics, ايران , lotfi, taher islamic azad university, hamedan branch - department of applied mathematics, ايران
Abstract :
Kung–Traub (JACM21:643–651, 1974) constructed two optimal general iterative methods without memory for finding solution of nonlinear equations. In this work, we are going to show that one of them can be applied for matrix inversion. It is observed that the convergence order 2m can be attained using 2^m matrix–matrix multiplications. Moreover, a method with the efficiency index 10^1/6 ≈ 1.4677 will be furnished. To justify that our procedure works efficiently, some numerical problems are included.
Keywords :
Matrix inversion , Initial matrix , Schulz method , Kung–Traub
Journal title :
International Journal Of Applied and Computational Mathematics
Journal title :
International Journal Of Applied and Computational Mathematics
