4 papers
Scaled Projected-Directions Methods with Application to Transmission Tomography
Guillaume Mestdagh, Yves Goussard, Dominique Orban
Statistical image reconstruction in X-Ray computed tomography yields large-scale regularized linear least-squares problems with nonnegativity bounds, where the memory footprint of…
Implementing a smooth exact penalty function for general constrained nonlinear optimization
Ron Estrin, Michael Friedlander, Dominique Orban +1
We build upon Estrin et al. (2019) to develop a general constrained nonlinear optimization algorithm based on a smooth penalty function proposed by Fletcher (1970, 1973b). Although…
Implementing a smooth exact penalty function for equality-constrained nonlinear optimization
Ron Estrin, Michael P. Friedlander, Dominique Orban +1
We develop a general equality-constrained nonlinear optimization algorithm based on a smooth penalty function proposed by Fletcher (1970). Although it was historically considered t…
BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
Alexis Montoison, Dominique Orban
We introduce an iterative method named BiLQ for solving general square linear systems Ax = b based on the Lanczos biorthogonalization process defined by least-norm subproblems, and…