Problem 85. Remove the polynomials that have positive real elements of their roots.

Created by Cody Team

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>The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/help/techdoc/ref/roots.html\"><w:r><w:t>roots</w:t></w:r></w:hyperlink><w:r><w:t> of the polynomial have a positive real part, the behavior of the system will be divergent. Given a cell array of vectors that represent polynomials, remove the ones that have roots with positive real components.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ polyIn = {[1 1],[1 -1]}\n polyOut = {[1 1]}]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>since roots([1 -1]) is 1, a positive number.</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

1423 Solutions
720 Solvers

Last Solution submitted on Jun 17, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Cris Luengo on 14 Jul 2012

The test set should contain a polynomial with complex roots where the real part is positive, and a polynomial with a positive and a negative root.

Hans Kramer on 31 Oct 2018

Too less test cases

Solution Comments

Solution 107869

1 Comment

1 Comment

Cris Luengo on 14 Jul 2012

This removes only polinomials if all the roots are positive. Should read 'all' instead of 'any' here.

Problem Recent Solvers720

Problem Tags

matlab

Community Treasure Hunt

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

Start Hunting!

Problem 85. Remove the polynomials that have positive real elements of their roots.

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers720

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Problem 85. Remove the polynomials that have positive real elements of their roots.

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers720

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Players