This is the Windows app named polynomial-roots-calculation whose latest release can be downloaded as 20230805.PolynomialRoots.v1.0.7z. It can be run online in the free hosting provider OnWorks for workstations.
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polynomial-roots-calculation
DESCRIPTION
Application for polynomial roots calculation.
The application does the job by supposing the roots of the derivative function are known.
This way, we can delimit the range where each possible root is in, and by applying Bolzano's theorem, we can find the zeroes.
It is not a very eficient way, as we must calculate al the derivatives of the polinomial, implying very high numbers (n!), that make the needed precision increase, making the computational complexity for high-degree polinomials poor.
But I have been able to make it work with a 40-degree polynomial, with two very proximal zeroes arround x=1000.
It needs a precision of arround 60 digits.
The problem comes with very-high degree polynomials.
The higher is the degree, the faster the execution time increases.
But for common examples, the application does the job well.
Features
- java
- math
- BigDecimal
Audience
Science/Research, Other Audience
User interface
Command-line
Programming Language
Java
Categories
This is an application that can also be fetched from https://sourceforge.net/projects/polynomial-roots-calculation/. It has been hosted in OnWorks in order to be run online in an easiest way from one of our free Operative Systems.
