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math.NA2023
On the Performance of a Novel Class of Linear System Solvers and Comparison with State-of-The-Art Algorithms
Chun Lau, Bahman Kalantari
We present a comprehensive computational study of a class of linear system solvers, called {\it Triangle Algorithm} (TA) and {\it Centering Triangle Algorithm} (CTA), developed by…
math.NA2023
A Family of Iteration Functions for General Linear Systems
Bahman Kalantari
We introduce innovative algorithms for computing exact or approximate (minimum-norm) solutions to or the {\it normal equation} , where is an rea…
math.NA2023
Solution of Real Cubic Equations without Cardano's Formula
Bahman Kalantari
Building on a classification of zeros of cubic equations due to the -th century Persian mathematician Sharaf al-Din Tusi, together with Smale's theory of {\it point estimation}…