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ORCIDR. Baker Kearfott
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- affiliation: University Louisiana at Lafayette, LA, USA
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Books and Theses
- 2009
[b1]Ramon E. Moore, R. Baker Kearfott, Michael J. Cloud:
Introduction to Interval Analysis. SIAM 2009, ISBN 978-0-89871-669-6, pp. I-XI, 1-223
Journal Articles
- 2017
- [j47]Jared T. Guilbeau, Md. Istiaq Hossain, Sam D. Karhbet, Ralph Baker Kearfott
, Temitope S. Sanusi, Lihong Zhao:
A review of computation of mathematically rigorous bounds on optima of linear programs. J. Glob. Optim. 68(3): 677-683 (2017) - 2015
- [j46]Ralph Baker Kearfott:
Some observations on exclusion regions in branch and bound algorithms. J. Glob. Optim. 62(2): 229-241 (2015) - 2014
- [j45]Ralph Baker Kearfott:
On rigorous upper bounds to a global optimum. J. Glob. Optim. 59(2-3): 459-476 (2014) - [j44]Ralph Baker Kearfott, Jessie Castille, Gaurav Tyagi:
Assessment of a non-adaptive deterministic global optimization algorithm for problems with low-dimensional non-convex subspaces. Optim. Methods Softw. 29(2): 430-441 (2014) - 2013
- [j43]Ralph Baker Kearfott, Jessie Castille, Gaurav Tyagi:
A general framework for convexity analysis in deterministic global optimization. J. Glob. Optim. 56(3): 765-785 (2013) - [j42]Ralph Baker Kearfott, Sowmya Muniswamy, Yi Wang, Xinyu Li, Qian Wang:
On smooth reformulations and direct non-smooth computations for minimax problems. J. Glob. Optim. 57(4): 1091-1111 (2013) - 2011
- [j41]Ralph Baker Kearfott:
Interval computations, rigour and non-rigour in deterministic continuous global optimization. Optim. Methods Softw. 26(2): 259-279 (2011) - [j40]Julie Roy, R. Baker Kearfott:
Global Optimization and Singular Nonlinear Programs: New Techniques. Reliab. Comput. 15(3): 242-250 (2011) - [j39]R. Baker Kearfott:
Erratum: Validated Linear Relaxations and Preprocessing: Some Experiments. SIAM J. Optim. 21(1): 415-416 (2011) - 2009
- [j38]Bernard Bialecki, R. Baker Kearfott, Krzysztof A. Sikorski, Masaki Sugihara:
Guest editors' preface: Issue dedicated to Professor Frank Stenger. J. Complex. 25(3): 233-236 (2009) - [j37]R. Baker Kearfott:
GlobSol user guide. Optim. Methods Softw. 24(4-5): 687-708 (2009) - 2008
- [j36]R. Baker Kearfott:
A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems. Computing 82(1): 77-102 (2008) - 2007
- [j35]Ralph Baker Kearfott:
János D. Pintér, ed. (2006), Global Optimization: Scientific and Engineering Case Studies, Springer Verlag Nonconvex Optimization and its Applications series, 546 pp., ISBN 0-387-30408-8. J. Glob. Optim. 38(3): 503-505 (2007) - [j34]George F. Corliss, Christopher Foley, R. Baker Kearfott:
Formulation for Reliable Analysis of Structural Frames. Reliab. Comput. 13(2): 125-147 (2007) - 2006
- [j33]R. Baker Kearfott:
Discussion and empirical comparisons of linear relaxations and alternate techniques in validated deterministic global optimization. Optim. Methods Softw. 21(5): 715-731 (2006) - 2005
- [j32]Vladik Kreinovich, R. Baker Kearfott:
Beyond Convex? Global Optimization is Feasible Only for Convex Objective Functions: A Theorem. J. Glob. Optim. 33(4): 617-624 (2005) - [j31]R. Baker Kearfott:
Errata and Opinion to: "An Interval Entropy Penalty Method for Nonlinear Global Optimization". Reliab. Comput. 11(2): 163-164 (2005) - [j30]R. Baker Kearfott:
Validated Constraint Solving-Practicalities, Pitfalls, and New Developments. Reliab. Comput. 11(5): 383-391 (2005) - [j29]R. Baker Kearfott, Siriporn Hongthong:
Validated Linear Relaxations and Preprocessing: Some Experiments. SIAM J. Optim. 16(2): 418-433 (2005) - 2004
- [j28]Humberto Muñoz, R. Baker Kearfott:
Slope Intervals, Generalized Gradients, Semigradients, Slant Derivatives, and Csets. Reliab. Comput. 10(3): 163-193 (2004) - 2003
- [j27]Jianwei Dian, R. Baker Kearfott:
Existence verification for singular and nonsmooth zeros of real nonlinear systems. Math. Comput. 72(242): 757-766 (2003) - [j26]R. Baker Kearfott:
COCOS'02 - A Workshop on Global Constrained Optimization and Constraint Satisfaction October 2-4, 2002, Sophia-Antipolis, France. Reliab. Comput. 9(1): 81-87 (2003) - [j25]R. Baker Kearfott, Jianwei Dian:
Existence Verification for Higher Degree Singular Zeros of Nonlinear Systems. SIAM J. Numer. Anal. 41(6): 2350-2373 (2003) - 2002
- [j24]R. Baker Kearfott, Jianwei Dian:
Verifying Topological Indices for Higher-Order Rank Deficiencies. J. Complex. 18(2): 589-611 (2002) - [j23]R. Baker Kearfott:
On Existence and Uniqueness Verification for Non-Smooth Functions. Reliab. Comput. 8(4): 267-282 (2002) - [j22]R. Baker Kearfott, G. William Walster:
SIAM Conference on Optimization, Validated Computing 2002, and the Fields Institute Informal Working Group on Validated Optimization. Reliab. Comput. 8(5): 419-424 (2002) - [j21]R. Baker Kearfott, G. William Walster:
Symbolic Preconditioning with Taylor Models: Some Examples. Reliab. Comput. 8(6): 453-468 (2002) - 2001
- [j20]R. Baker Kearfott:
An Example of Singularity in Nonlinear Systems. Reliab. Comput. 7(5): 425-429 (2001) - 2000
- [j19]R. Baker Kearfott, Jianwei Dian, Arnold Neumaier:
Existence Verification for Singular Zeros of Complex Nonlinear Systems. SIAM J. Numer. Anal. 38(2): 360-379 (2000) - [j18]R. Baker Kearfott, G. William Walster:
On stopping criteria in verified nonlinear systems or optimization algorithms. ACM Trans. Math. Softw. 26(3): 373-389 (2000) - 1998
- [j17]R. Baker Kearfott:
On proving existence of feasible points in equality constrained optimization problems. Math. Program. 83: 89-100 (1998) - [j16]R. Baker Kearfott:
Kreinovich, V., Lakeyev, A., Rohn, J., and Kahl, P.: Computational Complexity and Feasibility of Data Processing and Interval Computations. Reliab. Comput. 4(4): 405-409 (1998) - 1997
- [j15]R. Baker Kearfott:
Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Systems. SIAM J. Sci. Comput. 18(2): 574-594 (1997) - 1996
- [j14]R. Baker Kearfott:
Interval Extensions of Non-Smooth Functions for Global Optimization and Nonlinear Systems Solvers. Computing 57(2): 149-162 (1996) - [j13]R. Baker Kearfott:
Algorithm 763; INTERVAL_ARITHMETIC: A Fortran 90 Module for an Interval Data Type. ACM Trans. Math. Softw. 22(4): 385-392 (1996) - 1995
- [j12]R. Baker Kearfott, Eldar A. Musaev, Vyacheslav M. Nesterov, Alexander G. Yakovlev:
Preface. Reliab. Comput. 1(1): 3-4 (1995) - [j11]R. Baker Kearfott, Eldar A. Musaev, Vyacheslav M. Nesterov, Alexander G. Yakovlev:
Предисловне. Reliab. Comput. 1(1): 5-7 (1995) - [j10]Chenyi Hu, Anna Frolov, R. Baker Kearfott, Qing Yang:
A general iterative sparse linear solver and its parallelization for interval Newton methods. Reliab. Comput. 1(3): 251-263 (1995) - [j9]Chenyi Hu, Joe Sheldon, R. Baker Kearfott, Qing Yang:
Optimizing INTBIS on the CRAY Y-MP. Reliab. Comput. 1(3): 265-274 (1995) - [j8]R. Baker Kearfott:
A Fortran 90 Environment for Research and Prototyping of Enclosure Algorithms for Nonlinear Equations and Global Optimization. ACM Trans. Math. Softw. 21(1): 63-78 (1995) - 1994
- [j7]Kaisheng Du, R. Baker Kearfott:
The cluster problem in multivariate global optimization. J. Glob. Optim. 5(3): 253-265 (1994) - [j6]Ralph Baker Kearfott, Milind Dawande, Kaisheng Du, Chenyi Hu:
Algorithm 737; INTLIB: a portable Fortran 77 interval standard-function library. ACM Trans. Math. Softw. 20(4): 447-459 (1994) - 1992
- [j5]R. Baker Kearfott:
An interval branch and bound algorithm for bound constrained optimization problems. J. Glob. Optim. 2(3): 259-280 (1992) - 1991
- [j4]R. Baker Kearfott:
Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems. Computing 47(2): 169-191 (1991) - 1990
- [j3]R. Baker Kearfott, Manuel Novoa:
Algorithm 681: INTBIS, a portable interval Newton/bisection package. ACM Trans. Math. Softw. 16(2): 152-157 (1990) - 1988
- [j2]R. Baker Kearfott:
Corrigenda: "Some Tests of Generalized Bisection". ACM Trans. Math. Softw. 14(4): 399 (1988) - 1987
- [j1]R. Baker Kearfott:
Some tests of generalized bisection. ACM Trans. Math. Softw. 13(3): 197-220 (1987)
Conference and Workshop Papers
- 2018
- [c8]Ralph Baker Kearfott, Dun Liu:
A Brief Review of a Method for Bounds on Polynomial Ranges over Simplexes. NAFIPS 2018: 508-518 - 2013
- [c7]Ralph Baker Kearfott:
An overview of the upcoming IEEE P-1788 working group document: Standard for interval arithmetic. IFSA/NAFIPS 2013: 460-465 - 2008
- [c6]R. Baker Kearfott, John D. Pryce, Nathalie Revol:
Discussions on an Interval Arithmetic Standard at Dagstuhl Seminar 08021. Numerical Validation in Current Hardware Architectures 2008: 1-6 - [c5]George F. Corliss, R. Baker Kearfott, Nedialko S. Nedialkov, John D. Pryce, Spencer Smith:
Interval Subroutine Library Mission. Reliable Implementation of Real Number Algorithms 2008: 28-43 - 2003
- [c4]R. Baker Kearfott, Markus Neher, Shin'ichi Oishi, Fabien Rico:
Libraries, Tools, and Interactive Systems for Verified Computations Four Case Studies. Numerical Software with Result Verification 2003: 36-63 - 2002
- [c3]R. Baker Kearfott:
GlobSol: History, Composition, and Advice on Use. COCOS 2002: 17-31 - 1998
- [c2]George F. Corliss, R. Baker Kearfott:
Rigorous Global Search: Industrial Applications. SCAN 1998: 1-16 - 1991
- [c1]Chenyi Hu, Magdy A. Bayoumi, R. Baker Kearfott, Qing Yang:
A Parallelized Algorithm for the All-Row Preconditioned Interval Newton/Generalized Bisection Method. PPSC 1991: 205-209
Editorship
- 2019
- [e2]Ralph Baker Kearfott, Ildar Z. Batyrshin, Marek Z. Reformat, Martine Ceberio, Vladik Kreinovich:
Fuzzy Techniques: Theory and Applications - Proceedings of the 2019 Joint World Congress of the International Fuzzy Systems Association and the Annual Conference of the North American Fuzzy Information Processing Society IFSA/NAFIPS'2019 (Lafayette, Louisiana, USA, June 18-21, 2019). Advances in Intelligent Systems and Computing 1000, Springer 2019, ISBN 978-3-030-21919-2 [contents] - 2004
- [e1]René Alt, Andreas Frommer, R. Baker Kearfott, Wolfram Luther:
Numerical Software with Result Verification, International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers. Lecture Notes in Computer Science 2991, Springer 2004, ISBN 3-540-21260-4 [contents]
Reference Works
- 2009
- [r6]R. Baker Kearfott:
Interval Analysis: Intermediate Terms. Encyclopedia of Optimization 2009: 1696-1699 - [r5]R. Baker Kearfott:
Interval Analysis: Nondifferentiable Problems. Encyclopedia of Optimization 2009: 1699-1702 - [r4]R. Baker Kearfott:
Interval Analysis: Unconstrained and Constrained Optimization. Encyclopedia of Optimization 2009: 1727-1730 - [r3]R. Baker Kearfott:
Interval Analysis: Verifying Feasibility. Encyclopedia of Optimization 2009: 1730-1733 - [r2]R. Baker Kearfott:
Interval Fixed Point Theory. Encyclopedia of Optimization 2009: 1736-1739 - [r1]R. Baker Kearfott:
Interval Newton Methods. Encyclopedia of Optimization 2009: 1763-1766
Informal and Other Publications
- 2008
- [i2]John D. Pryce, George F. Corliss, R. Baker Kearfott, Nedialko S. Nedialkov, Spencer Smith:
Second Note on Basic Interval Arithmetic for IEEE754R. Numerical Validation in Current Hardware Architectures 2008 - 2006
- [i1]George F. Corliss, R. Baker Kearfott, Nedialko S. Nedialkov, John D. Pryce, Spencer Smith:
Interval Subroutine Library Mission. Reliable Implementation of Real Number Algorithms 2006
Coauthor Index
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