R. A. Tapia

On the formulation and theory of the Newton interior-point method for nonlinear programming

Amr El-Bakry, R. A. Tapia, Takashi Tsuchiya et al. · Journal of Optimization Theory and Applications · 1996 · 360 citations

Natural Sciences, Computer Science, Algorithms +9

Diagonalized multiplier methods and quasi-Newton methods for constrained optimization

R. A. Tapia · Journal of Optimization Theory and Applications · 1977 · 173 citations

Natural Sciences, Computer Science, Algorithms +10

Optimal Error Bounds for the Newton–Kantorovich Theorem

William B. Gragg, R. A. Tapia · SIAM Journal on Numerical Analysis · 1974 · 168 citations

Computing, Computer Science, Mathematics +16

Quantification of regional ventilation from treatment planning CT

Thomas Guerrero, Kevin Sanders, Josue Noyola-Martinez et al. · International Journal of Radiation Oncology*Biology*Physics · 2005 · 161 citations

Medicine, Radiology, Diagnostic Imaging +11

A quadratically convergent O( $$\sqrt n $$ L)-iteration algorithm for linear programming

Y. Ye, Osman Güler, R. A. Tapia et al. · Mathematical Programming · 1993 · 107 citations

Computing, Computer Science, Algorithms +9