José Mario Martínez's research while affiliated with University of Campinas and other places

Publications (2)

Chapter
Some Newtonian ideas will be reported with respect to research areas that emerged in numerical Mathematics after, approximately, 1960. For the problems of solving nonlinear equations and unconstrained optimization, Quasi-Newton methods, which stayed in the mainstream of numerical optimization for more than 30 years, will be motivated and discussed....
Article
Quasi-Newton acceleration is an interesting tool to improve the performance of numerical methods based on the fixed-point paradigm. In this paper, a briefly description of the compartmental model employed for a typical task in perfusion imaging is presented. Next, a quasi-Newton strategy for accelerating the convergence of fixed-point iterations is...

Citations

... It is worth mentioning that sequential secant acceleration is closely connected with Anderson acceleration [1, 7-9, 21, 28, 36, 41] and quasi-Newton acceleration [7,16,20,26]. Moreover, the sequential secant algorithm is a particular case of a family of secant methods described in [29] and [22], whereas related multipoint ...