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  2. Factorization of polynomials over finite fields - Wikipedia

    en.wikipedia.org/wiki/Factorization_of...

    In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors.This decomposition is theoretically possible and is unique for polynomials with coefficients in any field, but rather strong restrictions on the field of the coefficients are needed to allow the computation of the factorization by means of an algorithm.

  3. Factorization of polynomials - Wikipedia

    en.wikipedia.org/wiki/Factorization_of_polynomials

    This factorization is also unique up to the choice of a sign. For example, + + + = + + + is a factorization into content and primitive part. Gauss proved that the product of two primitive polynomials is also primitive (Gauss's lemma). This implies that a primitive polynomial is irreducible over the rationals if and only if it is irreducible ...

  4. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

  5. Matrix decomposition - Wikipedia

    en.wikipedia.org/wiki/Matrix_decomposition

    In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems.

  6. LU decomposition - Wikipedia

    en.wikipedia.org/wiki/LU_decomposition

    LU decomposition on Math-Linux. LU decomposition at Holistic Numerical Methods Institute; LU matrix factorization. MATLAB reference. Computer code. LAPACK is a collection of FORTRAN subroutines for solving dense linear algebra problems; ALGLIB includes a partial port of the LAPACK to C++, C#, Delphi, etc. C++ code, Prof. J. Loomis, University ...

  7. What does the Spirit Airlines bankruptcy mean for airfares ...

    www.aol.com/news/does-spirit-airlines-bankruptcy...

    Budget carrier Spirit Airlines filed for bankruptcy this week, stoking concern about how the financial peril of a low-fare option could impact prices across the industry. The Florida-based company ...

  8. Heartwarming story of man missing 25 years is darker. He's a ...

    www.aol.com/heartwarming-story-man-missing-25...

    Marcella Nasseri found her missing brother Thomas Manizak through a USA TODAY story after 25 years. New details emerge of his background.

  9. Trump transition distances itself from Ukraine peace plan ...

    www.aol.com/news/trump-adviser-says-priority...

    WEST PALM BEACH, Florida (Reuters) -Donald Trump's presidential transition effort said on Saturday that a Republican operative who outlined some potential contours of a U.S.-backed peace plan in ...