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updated 1 day ago

Complex matrix inversion by Real matrix inversion by Feng Cheng Chang

Feng Cheng Chang

Calculate the complex matrix inverse by using only real matrix inverse (mathematics, matlab, matrix)

inv_CR(M)

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updated 2 months ago

inv_det_p(M) by Feng Cheng Chang

Feng Cheng Chang

Finding inverse and determinant of matrix by order expansion and condensation (matrix inverse, matrix determinant, shur complement)

inv_det_p(M)

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updated 2 months ago

Making matrix to have constant for its determinant by Feng Cheng Chang

Feng Cheng Chang

Making given matrix altered to have a certain constant for its determinant (mathematics)

mtx_d(A,D,d)

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updated 2 months ago

Making given matrix singular by Feng Cheng Chang

Feng Cheng Chang

Making the given matrix singular by adding a matrix with multiplier. (square matrix, inverse matrix, determinant)

mtx_z(A,D)

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updated 3 months ago

inv_det_0(A) by Feng Cheng Chang

Feng Cheng Chang

Inverse and determinant of a matrix by order expansion and condensation (matrix inversion, matrix determinantord...)

inv_det_0(A)

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updated 9 months ago

Polynomials with multiple roots solved by Feng Cheng Chang

Feng Cheng Chang

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

poly_roots(p)

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updated 2 years ago

Polynomial division - derived form covolution by Feng Cheng Chang

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 2 years ago

Inverse and determinant of square matrix by Feng Cheng Chang

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

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

Polynomial division by convolution - quotient and reminder by Feng Cheng Chang

Feng Cheng Chang

Division of two polynomials to get quotient and reminder using convolution matrix. (linear algebra, polynomial division, longhand division)

polydiv_H(b,a,c)

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updated 4 years ago

Solving multiple-root polynomials by Feng Cheng Chang

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

GCD of Polynomials by Feng Cheng Chang

Feng Cheng Chang

Find polynomial GCD by "Leading-coefficient Elinimation" (linear algebra, polynomial gcd, euclid algorithm)

poly_gcd(p,q)

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updated almost 6 years ago

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

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 almost 6 years ago

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

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

Factorization of a polynomial with multiple roots by Feng Cheng Chang

Feng Cheng Chang

By a novel effective approach "Monic polynomial subtraction" for computing GCD polynomial. (linear algebra, polynomial roots, greatest common divis...)

polyfct(p)

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updated 6 years ago

Exact GCD of integer polynomials by Feng Cheng Chang

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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updated almost 7 years ago

Factoring a multiple-root polynomial by Feng Cheng Chang

Feng Cheng Chang

A multiple-root polynomial is factored into lower-degree distict-root polynomials, then solved. (linear algebra, polynomial multiple r..., great common divisor)

PolyFct(p)

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