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updated 4 months ago

Polynomials with multiple roots solved by Feng Cheng Chang

Solving multiple roots polynomial, using simple elementary arithematic operations mostly. (polynomial roots poly...)

poly_roots(p)

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updated 1 year ago

Making square matrix singular. by Feng Cheng Chang

Making any given non-singular square matrix singular by perturbing with prescribed distribution. (square matrix, inverse matrix, determinant)

M_singular

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updated almost 2 years ago

Polynomial division - derived form covolution by Feng Cheng Chang

Polynomial division is derived directly from convolution. (long polynomial divis..., synthetic polynomial ..., convolution polynomia...)

poly_div(b,a)

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updated almost 2 years ago

Inverse and determinant of square matrix by Feng Cheng Chang

Inverse and determinant of a square matrix are determined using only simple matrix multiplication (square matrix, inverse matrix, determinant)

inv1(AO)

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updated 3 years ago

Polynomial division by convolution -- up to finite terms by Feng Cheng Chang

Division of two polynomials by convolution to get up to K terms. (linear algebra, polynomial division, longhand division)

polydiv_Z(b,a,K,c)

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updated 3 years ago

Solving multiple-root polynomials by Feng Cheng Chang

Find roots and multiplicities of given polynomials using this short compact routine. (polynomial solutions, roots and multiplicit..., rational functions)

M_polyroots

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updated 5 years ago

Multiple-root polynomial solved by partial fraction expansion by Feng Cheng Chang

To find poles/residues of the rational function, instead of roots/multiplicities of the polynomial (mathematics, communications, control design)

polyroots(p)

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updated 5 years ago

Polynomial coefficient vector derived from sub-polynomial factors by Feng Cheng Chang

A polynomial coefficient vector is derived from several powered polynomial factors. (linear algebra, polynomial roots, polynomial division)

polyget(A)

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updated almost 6 years ago

Exact GCD of integer polynomials by Feng Cheng Chang

Exact GCD of a pair of polynomials is obtained by "elimination of leading polynomial coefficient" (polynomial roots, gcd computation, multiple roots)

intgcd(p,q)

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