Results 281 to 290 of about 2,413 (304)

On factorization of parametric polynomials

COMMENTARII MATHEMATICI UNIVERSITATIS SANCTI PAULI
In the article under review, the author studies the irreducible factorization of parametric bivariate polynomials \(f(x,y,a)\) which depend on a parameter \(a\) over a field \(K\). Letting \(K(a)\) denote the rational function field in \(a\) over \(K\), the author's main result is that if \(f(x,y,a)\) is absolutely irreducible over \(K(a)\), then the ...
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An interative factorization techniques for polynomials

Communications of the ACM, 1963
An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if the initial approximation to a factor is near enough to an actual factor. The process is simply programmed, and preliminary results indicate it to be well
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Polynomial equations and factoring polynomials

1999
Solving polynomial equations and systems of polynomial equations is a classical type of problem. Its study received new impetus from the fact that computers can now handle laborious algorithms, using factorization, resultants, and the more recent Buchberger algorithm for calculating Grobner bases. Maple is in the front line of using these developments.
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Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges

SIAM Journal on Matrix Analysis and Applications, 2022
Ilya Spitkovsky, Hugo Woerdeman, Edward Poon   +2 more
exaly  

Deterministic Factorization of Sparse Polynomials with Bounded Individual Degree

Journal of the ACM, 2020
Ilya Volkovich, Shubhangi Saraf
exaly  

Relevance of Factorization Method to Differential and Integral Equations Associated with Hybrid Class of Polynomials

Fractal and Fractional, 2022
Mohammad Faisal Khan, Mohd Shadab, Khan Mohammad Faisal   +2 more
exaly  

Revisiting Biorthogonal Polynomials: An LU Factorization Discussion

SEMA SIMAI Springer Series, 2021
Manuel Manas, Manas Manuel
exaly  

A new efficient factorization algorithm for polynomials over small finite fields

Applicable Algebra in Engineering, Communications and Computing, 1993
Niederreiter Harald
exaly  

Problems: Factorization of Polynomials

2021
Rahmani-Andebili Mehdi
exaly  

ON APPROXIMATE FACTORS OF POLYNOMIALS

The Quarterly Journal of Mathematics, 1955
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