Kearfott, Ralph Baker Mathematically rigorous global optimization and fuzzy optimization. A brief comparison of paradigms, methods, similarities, and differences. (English) Zbl 07404588 Pardalos, Panos M. (ed.) et al., Black box optimization, machine learning, and no-free lunch theorems. Cham: Springer. Springer Optim. Appl. 170, 169-194 (2021). MSC: 68T05 90C59 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Springer Optim. Appl. 170, 169--194 (2021; Zbl 07404588) Full Text: DOI
Guilbeau, Jared T.; Hossain, Md. Istiaq; Karhbet, Sam D.; Baker Kearfott, Ralph; Sanusi, Temitope S.; Zhao, Lihong A review of computation of mathematically rigorous bounds on optima of linear programs. (English) Zbl 1377.90056 J. Glob. Optim. 68, No. 3, 677-683 (2017). MSC: 90C05 PDFBibTeX XMLCite \textit{J. T. Guilbeau} et al., J. Glob. Optim. 68, No. 3, 677--683 (2017; Zbl 1377.90056) Full Text: DOI
Kearfott, Ralph Baker Some observations on exclusion regions in branch and bound algorithms. (English) Zbl 1346.90821 J. Glob. Optim. 62, No. 2, 229-241 (2015). MSC: 90C57 90C26 PDFBibTeX XMLCite \textit{R. B. Kearfott}, J. Glob. Optim. 62, No. 2, 229--241 (2015; Zbl 1346.90821) Full Text: DOI
Kearfott, Ralph Baker On rigorous upper bounds to a global optimum. (English) Zbl 1301.90075 J. Glob. Optim. 59, No. 2-3, 459-476 (2014). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{R. B. Kearfott}, J. Glob. Optim. 59, No. 2--3, 459--476 (2014; Zbl 1301.90075) Full Text: DOI
Kearfott, Ralph Baker; Muniswamy, Sowmya; Wang, Yi; Li, Xinyu; Wang, Qian On smooth reformulations and direct non-smooth computations for minimax problems. (English) Zbl 1282.90233 J. Glob. Optim. 57, No. 4, 1091-1111 (2013). MSC: 90C47 90C26 PDFBibTeX XMLCite \textit{R. B. Kearfott} et al., J. Glob. Optim. 57, No. 4, 1091--1111 (2013; Zbl 1282.90233) Full Text: DOI
Kearfott, Ralph Baker; Castille, Jessie; Tyagi, Gaurav A general framework for convexity analysis in deterministic global optimization. (English) Zbl 1275.90066 J. Glob. Optim. 56, No. 3, 765-785 (2013). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{R. B. Kearfott} et al., J. Glob. Optim. 56, No. 3, 765--785 (2013; Zbl 1275.90066) Full Text: DOI
Kearfott, R. Baker A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems. (English) Zbl 1180.65055 Computing 82, No. 1, 77-102 (2008). Reviewer: M. Milla Miranda (Rio de Janeiro) MSC: 65G30 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Computing 82, No. 1, 77--102 (2008; Zbl 1180.65055) Full Text: DOI
Corliss, George; Foley, Christopher; Kearfott, R. Baker Formulation for reliable analysis of structural frames. (English) Zbl 1106.74040 Reliab. Comput. 13, No. 2, 125-147 (2007). MSC: 74K99 74S30 62N05 65G30 PDFBibTeX XMLCite \textit{G. Corliss} et al., Reliab. Comput. 13, No. 2, 125--147 (2007; Zbl 1106.74040) Full Text: DOI
Kearfott, R. Baker Validated constraints solving — practicalities, pitfalls, and new developments. (English) Zbl 1081.65526 Reliab. Comput. 11, No. 5, 383-391 (2005). MSC: 65K05 65G30 90C05 90C30 90C06 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Reliab. Comput. 11, No. 5, 383--391 (2005; Zbl 1081.65526) Full Text: DOI
Dian, Jianwei; Kearfott, R. Baker Existence verification for singular and nonsmooth zeros of real nonlinear systems. (English) Zbl 1025.65030 Math. Comput. 72, No. 242, 757-766 (2003). Reviewer: Eugene L.Allgower (Fort Collins) MSC: 65H10 65G40 65L10 65G20 34B15 65L12 PDFBibTeX XMLCite \textit{J. Dian} and \textit{R. B. Kearfott}, Math. Comput. 72, No. 242, 757--766 (2003; Zbl 1025.65030) Full Text: DOI
Kearfott, R. Baker; Dian, Jianwei Verifying topological indices for higher-order rank deficiencies. (English) Zbl 1005.65049 J. Complexity 18, No. 2, 589-611 (2002). MSC: 65H10 65G30 65G20 PDFBibTeX XMLCite \textit{R. B. Kearfott} and \textit{J. Dian}, J. Complexity 18, No. 2, 589--611 (2002; Zbl 1005.65049) Full Text: DOI Link
Baker Kearfott, R. On proving existence of feasible points in equality constrained optimization problems. (English) Zbl 0949.90089 Math. Program. 83, No. 1 (A), 89-100 (1998). MSC: 90C30 65G30 65K05 PDFBibTeX XMLCite \textit{R. Baker Kearfott}, Math. Program. 83, No. 1 (A), 89--100 (1998; Zbl 0949.90089) Full Text: DOI
Kearfott, R. Baker Interval extensions of non-smooth functions for global optimization and nonlinear systems solvers. (English) Zbl 0859.65064 Computing 57, No. 2, 149-162 (1996). Reviewer: H.Ratschek (Düsseldorf) MSC: 65K05 26A27 65D25 65H10 90C30 65G30 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Computing 57, No. 2, 149--162 (1996; Zbl 0859.65064) Full Text: DOI
Du, Kaisheng; Kearfott, R. Baker The cluster problem in multivariate global optimization. (English) Zbl 0824.90121 J. Glob. Optim. 5, No. 3, 253-265 (1994). Reviewer: H.Ratschek (Düsseldorf) MSC: 90C30 65G30 PDFBibTeX XMLCite \textit{K. Du} and \textit{R. B. Kearfott}, J. Glob. Optim. 5, No. 3, 253--265 (1994; Zbl 0824.90121) Full Text: DOI
Kearfott, R. Baker Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems. (English) Zbl 0739.65049 Computing 47, No. 2, 169-191 (1991). Reviewer: G.Mayer (Karlsruhe) MSC: 65H10 65G30 65D25 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Computing 47, No. 2, 169--191 (1991; Zbl 0739.65049) Full Text: DOI
Kearfott, R. Baker Interval Newton/generalized bisection when there are singularities near roots. (English) Zbl 0746.90066 Ann. Oper. Res. 25, No. 1-4, 181-196 (1990). Reviewer: H.Tuy (Hanoi) MSC: 90C30 49M37 65H20 90-08 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Ann. Oper. Res. 25, No. 1--4, 181--196 (1990; Zbl 0746.90066) Full Text: DOI