Problem 85. Remove the polynomials that have positive real elements of their roots.
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.
Solution Stats
Problem Comments
-
4 Comments
Show
1 older comment
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
Brandon
on 13 Jun 2023
How does [1 1] represent a polynomial? This problem should read "Remove sets with negative numbers" instead.
Christian Schröder
on 14 Jun 2023
@Brandon polynomials in MATLAB are represented by a vector of coefficients; see doc roots.
Solution Comments
Show commentsProblem Recent Solvers1513
Suggested Problems
-
6619 Solvers
-
353 Solvers
-
Celsius to Fahrenheit converter
588 Solvers
-
1058 Solvers
-
Find my daddy long leg (No 's')
2034 Solvers
More from this Author96
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!