The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros

✍ Scribed by M.S. Petković; D.V. Vranić

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 543 KB
• Volume: 39
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00068-7

✦ Synopsis

In this paper, we give the convergence analysis of the Euler-like iterative method for the simultaneous inclusion of all simple real or complex zeros of a polynomial. The established initial conditions provide the safe convergence of the considered method and the fourth order of convergence. These conditions are computationally verifiable, which is of practical importance. A procedure for the choice of initial inclusion disks is also given.