function simpleRoots for finding a roots of polynome

版本 0.9.1 (3.3 KB) 作者: Peter Krammer
Function simpleRoots() effectively finds a roots of polynome in form [a a a ... a] or [a 0 0 ... 0 0 b] also for very large polynome.
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更新时间 2023/8/22

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Function simpleRoots() finds a roots of polynomial input. Function works very effective for polynomes in form [a 0 0 0 0 0 ... 0 0 0 b] or [a a a a .... a a a a], also for very large polynomes ( approx 30 000 coefficients ).
For polynome with 3000 or more coefficients, it is more than 500-times faster than standard roots() function (for specific form of polynomes).
Function also solves a 2 specific situations:
  • removing irrelevant starting zeros in polynome (simpleRoots([0 a b c]) -> simpleRoots([a b c]))
  • solving a roots, which are located in zero point (simpleRoots([a b c 0 0]) -> [0.0; 0.0; SimpleRoots([a b c]) ] )
For polynomes, which are not in specific form, this function calls standard roots() function.
Example script (which demonstrate a speed-up in compare with roots() function ) is also attached (scriptRoots.m).

引用格式

Peter Krammer (2024). function simpleRoots for finding a roots of polynome (https://www.mathworks.com/matlabcentral/fileexchange/134177-function-simpleroots-for-finding-a-roots-of-polynome), MATLAB Central File Exchange. 检索时间: .

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0.9.1