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

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The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the roots 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.

Example:

 polyIn = {[1 1],[1 -1]}
 polyOut = {[1 1]}

since roots([1 -1]) is 1, a positive number.

Solve

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Last solution submitted on Jul 19, 2019

Last 200 Solutions

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

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Last 200 Solutions

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

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Recent Solvers421

Suggested Problems

More from this Author95

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