R. Takahashi

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math.OC2021

Efficient solvers for Armijo's backtracking problem

Ivo Fagundes David de Oliveira, Ricardo Hiroshi Caldeira Takahashi

Backtracking is an inexact line search procedure that selects the first value in a sequence $x_{0}, x_{0} β, x_{0} β^{2} ...$ that satisfies $g (x) \leq 0$ on $R_{+}$ with $g (x) \leq 0$ i…

math.OC2021

An incremental descent method for multi-objective optimization

I. F. D. Oliveira, R. H. C. Takahashi

Current state-of-the-art multi-objective optimization solvers, by computing gradients of all $m$ objective functions per iteration, produce after $k$ iterations a measure of proxim…