Eldon Hansen

Eldon Hansen's AcademicInfluence.com Rankings

Eldon Hansen

Mathematics

#5949

World Rank

#8317

Historical Rank

#1865

USA Rank

Measure Theory

#2309

World Rank

#2764

Historical Rank

#648

USA Rank

mathematics Degrees

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Mathematics

Why Is Eldon Hansen Influential?

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According to Wikipedia, Eldon Robert Hansen is an American mathematician and author who has published in global optimization theory and interval arithmetic. Hansens's primary publications include Global Optimization Using Interval Analysis , A Table of Series and Products , and Topics in Interval Analysis . He also co-authored a number of works with the mathematician William Walster.

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Eldon Hansen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Global optimization using interval analysis (1992) (1950)
A Table of Series and Products (1977) (675)
Global optimization using interval analysis — the multi-dimensional case (1980) (238)
Interval Arithmetic in Matrix Computations, Part II (1965) (237)
A family of root finding methods (1976) (227)
Global Optimization Using Interval Analysis: Revised and Expanded (2007) (204)
Bounding solutions of systems of equations using interval analysis (1981) (170)
A Generalized Interval Arithmetic (1975) (169)
Bounding the solution of interval linear equations (1992) (138)
An interval Newton method (1983) (135)
Topics in Interval Analysis (1969) (116)
On solving systems of equations using interval arithmetic (1968) (105)
Global optimization using interval analysis: The one-dimensional case (1979) (99)
Interval Arithmetic in Matrix Computations, Part I (1965) (87)
A globally convergent interval method for computing and bounding real roots (1978) (74)
Cyclic composite multistep predictor-corrector methods (1969) (69)
Sharpness in Interval Computations (1997) (65)
On Cyclic Jacobi Methods (1963) (65)
Rigorous methods for global optimization (1992) (61)
On the solution of linear algebraic equations with interval coefficients (1969) (56)
Some modifications of Laguerre's method (1977) (44)
GLOBAL CONSTRAINED OPTIMIZATION USING INTERVAL ANALYSIS (1980) (38)
Interval forms of Newtons method (1978) (34)
AN OVERVIEW OF GLOBAL OPTIMIZATION USING INTERVAL ANALYSIS (1988) (32)
Numerical Optimization of Computer Models (Hans-Paul Schwefel) (1983) (21)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (J. E. Dennis, Jr., and Robert B. Schnabel) (1986) (21)
The Hull of Preconditioned Interval Linear Equations (2000) (18)
Some relations and values for the generalized Riemann zeta functions. (1962) (18)
Nonlinear equations and optimization (1993) (16)
Bounds for lagrange multipliers and optimal points (1993) (15)
On jacobi methods and block-jacobi methods for computing matrix eigenvalues (1960) (14)
Sharp Bounds on Interval Polynomial Roots (2002) (13)
Sharpening Interval Computations (2006) (12)
Solving Overdetermined Systems of Interval Linear Equations (2006) (11)
Computing Zeros of Functions Using Generalized Interval Arithmetic (1994) (10)
Sums of Functions Satisfying Recursion Relations (1981) (8)
Global optimization with data perturbations (1984) (8)
On the Danilewski Method (1963) (8)
Estimating the multiplicity of a root (1976) (7)
A note on some series representations of the integral of a bivariate normal distribution over an offset circle (1974) (7)
Closed Interval Systems (2003) (6)
On Quasicyclic Jacobi Methods (1962) (6)
A Multidimensional Interval Newton Method (2006) (6)
On Some Sums and Integrals Involving Bessel Functions (1966) (5)
Polynomial evaluation with scaling (1990) (5)
Computing Interval Parameter Bounds from Fallible Measurements Using Overdetermined (Tall) Systems of Nonlinear Equations (2002) (4)
Using Pillow Functions to Efficiently Compute Crude Range Tests (2004) (3)
A Theorem on Regularity of Interval Matrices (2005) (3)
Bounding the set of solutions of a perturbed global optimization problem (1991) (2)
A Summation of Bessel Functions (Henry E. Fettis) (1985) (2)
On the Nonnegativity of the Coefficients of a Certain Series Expansion (Dennis C. Gilliland) (1964) (1)
Functions of Intervals (2003) (1)
Methods For Interval Linear Equations (2004) (1)
Interval Analysis (Ramon E. Moore) (1967) (1)
GLOBALMIN - A Computer Program for Global Optimization. (1979) (0)
Some Relations and Values For the Generalized (2016) (0)
Taylor Series and Slope Expansions (2003) (0)
Systems of Nonlinear Equations (2003) (0)
Repeated additions (1970) (0)
On the Danilewski method for computing the characteristic polynomial (1961) (0)
Interval Numbers and Arithmetic (2003) (0)
Nonlinear Equations of One Variable (2003) (0)
Numerical Techniques for Optimization and Nonlinear Equations. (1978) (0)
The Full Monty (2003) (0)
Advanced Problems: 5225,5244,5290-5299 (1965) (0)
Equality Constrained Optimization (2003) (0)
An overview of global optimization interval analysis (1988) (0)
Perturbed Problems and Sensitivity Analysis (2003) (0)
Series Involving Bessel Functions (1985) (0)
Methods and Applications of Interval Analysis (Ramon E. Moore) (1981) (0)
An Interval Arithmetic Newton Method for Solving Systems of Nonlinear Equations (1982) (0)
An illustrative example in error analysis (1968) (0)
Numerical analysis II: On computing the exact characteristic polynomial (1962) (0)
Quadratic Equations and Inequalities (2003) (0)
Inequality Constrained Optimization (2003) (0)

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Other Resources About Eldon Hansen

en.wikipedia.org

What Schools Are Affiliated With Eldon Hansen?

Eldon Hansen is affiliated with the following schools:

Stanford University