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math.NA2020★ 1 cited
A Geometric Algorithm for Solving Linear Systems
Bahman Kalantari, Chun Lau, Yikai Zhang
Based on the geometric {\it Triangle Algorithm} for testing membership of a point in a convex set, we present a novel iterative algorithm for testing the solvability of a real line…
math.NA2020★ 3 cited
A Globally Convergent Newton Method for Polynomials
Bahman Kalantari
Newton's method for polynomial root finding is one of mathematics' most well-known algorithms. The method also has its shortcomings: it is undefined at critical points, it could ex…