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L. B. Rall and George F. Corliss
Reference Work Entry
Automatic Differentiation: Point and Interval AD
L. Rall and George Corliss
2001, Encyclopedia of Optimization, Pages 108-113
Interval Analysis: Intermediate Terms
R. Baker Kearfott
2009, Encyclopedia of Optimization, Part 9, Pages 1696-1699
Automatic Differentiation: Point and Interval Taylor Operators AD, Computational Differentiation
James B. Walters and George F. Corliss
2009, Encyclopedia of Optimization, Part 1, Pages 170-176
Book Chapter
Perspectives on Automatic Differentiation: Past, Present, and Future?
Louis Rall
Lecture Notes in Computational Science and Engineering, 1, Volume 50, Automatic Differentiation: Applications, Theory, and Implementations, Pages 1-14
Bounding Derivative Ranges
George F. Corliss and L. B. Rall
2009, Encyclopedia of Optimization, Part 2, Pages 318-325
Automatic differentiation: Introduction, history and rounding error estimation; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis: Differential equations; Interval analysis: Eigenvalue bounds of interval matrices; Interval analysis: Nondifferentiable problems; Interval analysis: Parallel methods for global optimization; Interval analysis: Subdivision directions in interval branch and bound methods; Interval analysis: Systems of nonlinear equations; Interval analysis: Unconstrained and constrained optimization; Interval analysis: Verifying feasibility; Interval constraints; Interval fixed point theory; Interval global optimization; Interval linear systems; Interval Newton methods INTERVAL ANALYSIS: INTERMEDIATE TERMS
R. Kearfott
2001, Encyclopedia of Optimization, Pages 1108-1111
George Corliss and L. Rall
2001, Encyclopedia of Optimization, Pages 209-215
James Walters and George Corliss
2001, Encyclopedia of Optimization, Pages 113-118
Interval Analysis: Unconstrained and Constrained Optimization
2009, Encyclopedia of Optimization, Part 9, Pages 1727-1730
Interval Analysis: Systems of Nonlinear Equations
Ramon E. Moore
2009, Encyclopedia of Optimization, Part 9, Pages 1721-1727
Keywords Differentiation - Computational methods
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