Problem 481. Rosenbrock's Banana Function and its derivatives

Created by Robert Canfield

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Write a function to return the value of Rosenbrock's two-dimensional banana function, as well as it's gradient (column) vector and Hessian matrix, given a vector of it's two independent variables x1 and x2. Here's the Rosenbrock function:

 100*[(x2-x1^2)^2] + (1-x1)^2

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Last Solution submitted on Nov 12, 2025

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Venu Lolla on 12 Mar 2012

@Robert, can you please verify that the last test case is correct?

Robert Canfield on 12 Mar 2012

I corrected a typo, checked the "Restore all solutions" box, and clicked "Save." Not sure how to tell when they're rescored.

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Problem 481. Rosenbrock's Banana Function and its derivatives

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Last 200 Solutions

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Problem Recent Solvers160

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Problem 481. Rosenbrock's Banana Function and its derivatives

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers160

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

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