Problem 481. Rosenbrock's Banana Function and its derivatives

Created by Robert Canfield

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Write a function to return the value of</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Rosenbrock_function\"><w:r><w:t>Rosenbrock's two-dimensional banana function</w:t></w:r></w:hyperlink><w:r><w:t>, as well as it's gradient (column) vector and Hessian matrix, given a vector of it's two independent variables</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x1</w:t></w:r><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x2</w:t></w:r><w:r><w:t>. Here's the Rosenbrock function:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 100*[(x2-x1^2)^2] + (1-x1)^2]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

523 Solutions
121 Solvers

Last Solution submitted on Feb 27, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

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.

Problem Recent Solvers121

Problem Tags

aoe4084 banana rosenbrock

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 481. Rosenbrock's Banana Function and its derivatives

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers121

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Problem 481. Rosenbrock's Banana Function and its derivatives

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers121

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Players