Interval methods for global optimization
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Publication:1914643
DOI10.1016/0096-3003(96)90061-2zbMath0846.65029OpenAlexW1966833256MaRDI QIDQ1914643
Publication date: 1996
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(96)90061-2
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interval and finite arithmetic (65G30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02)
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Interval methods for global optimization ⋮ A parallel algorithm for semi-infinite programming ⋮ Interval method for global solutions of a class of min-max-min problems ⋮ GMG -- a guaranteed global optimization algorithm: application to remote sensing ⋮ Nonlinear nonconvex optimization by evolutionary algorithms applied to robust control ⋮ An efficient algorithm for range computation of polynomials using the Bernstein form ⋮ Interval mathematics, algebraic equations and optimization
Uses Software
Cites Work
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- Derived eigenvalues of symmetric matrices, with applications to distance geometry
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- Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
- An interval branch and bound algorithm for bound constrained optimization problems
- Slope tests for Newton-type methods
- Foundations of optimization
- Global optimization using interval analysis: The one-dimensional case
- An interval arithmetic method for global optimization
- An interval algorithm for constrained global optimization
- An interval algorithm for nondifferentiable global optimization
- Interval methods for global optimization
- On the Convergence of Some Interval-Arithmetic Modifications of Newton’s Method
- The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
- The solution of some difficult problems in low-thrust interplanetary trajectory optimization
- Bounding the Solution of Interval Linear Equations
- Software-Entwicklung in Fortran 90
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