Rosenbrock methods
Rosenbrock methods refers to either of two distinct ideas in numerical computation, both named for Howard H. Rosenbrock.
Numerical solution of differential equations
Rosenbrock methods for stiff differential equations are a family of single-step methods for solving ordinary differential equations.[1][2] They are related to the implicit Runge–Kutta methods[3] and are also known as Kaps–Rentrop methods.[4]
Search method
Rosenbrock search is a
Matlab. Rosenbrock search is a form of derivative-free search but may perform better on functions with sharp ridges.[6] The method often identifies such a ridge which, in many applications, leads to a solution.[7]
See also
References
- ^ H. H. Rosenbrock, "Some general implicit processes for the numerical solution of differential equations", The Computer Journal (1963) 5(4): 329-330
- ISBN 978-0-521-88068-8.
- ^ "Archived copy" (PDF). Archived from the original (PDF) on 2013-10-29. Retrieved 2013-05-16.
{{cite web}}
: CS1 maint: archived copy as title (link) - ^ "Rosenbrock Methods".
- ^ H. H. Rosenbrock, "An Automatic Method for Finding the Greatest or Least Value of a Function", The Computer Journal (1960) 3(3): 175-184
- ISBN 0-201-73499-0.
- ^ Shoup, T., Mistree, F., Optimization methods: with applications for personal computers, 1987, Prentice Hall, pg. 120 [1]