Polynomials

More flexible sorting and multiplicity of roots of a polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for more flexible sorting and multiplicity of roots of a polynomial. Imagine a function that can pair the Complex Conjugate Roots of a Polynomial, and also tell us how many Roots are Real, and how many are Complex ; imagine further, that this function should also be able to give us the multiplicity of the roots ; and imagine further, that this function should be able to do all this even if not all the Complex Roots of the Polynomial are Conjugate Pairs.

Gcd of polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for gcd of polynomials. In the longhand polynomial division given as       P(k) = P(k-2) - P(k-1)*Q(k) The quotient Q(k) and the remainder P(k) are obtained from dividing the dividend P(k-2) by the divisor P(k-1).

Routh hurwitz stability criterion with gui matlab v3.3

The following Matlab project contains the source code and Matlab examples used for routh hurwitz stability criterion with gui matlab v3.3. Features: 1-Calculate Exactly & Display Table Of Routh Hurwitz In Listbox       Similar Project Can't Solve Accurate Routh-Hurwitz Stability Criterion       For Example This Equation [1 1 3 3 3 2 1] Have All Element And First       Element Zero Simultaneity And I Test Any Project And None Solve It        2-Determine Where First Element Or All Element Is Zero Graphically(Change Own Row Color Voluntary)

Manipulate and solve systems of multivariate polynomial equations by computing the groebner basis in matlab

The following Matlab project contains the source code and Matlab examples used for manipulate and solve systems of multivariate polynomial equations by computing the groebner basis . Example: simplify the system of equations   {x^2+2xy^2=0, xy+2y^3=1} >> groebner({'x^2+2*x*y^2','x*y+2*y^3-1'},'lex',{'x','y'}) returns {'y^3-0.

Legendre polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for legendre polynomial . Function to calculate Legendre orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

Matrix polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for matrix polynomial. This is a variation of MATLAB's polyvalm function, with a more efficient implementation. For a polynomial of order p, the number of matrix multiplies is approximately 2*(sqrt(p+1)-1). [See also polyvalm2, File ID: #25780.]

Polynomials with multiple roots solved in matlab

The following Matlab project contains the source code and Matlab examples used for polynomials with multiple roots solved. A given polynomial having multiple roots is solved by the routine               Z = poly_roots(p) where             Input p: polynomial coefficient vector             Output Z: root-multiplicity pairs The MATLAB source code is very simple and compact (fewer then 50 lines) and amazingly gives the expected results for any test polynomials of very high degree and multiplicities.

Highest row degree coefficient matrix of a polynomial matrix t(s) in matlab

The following Matlab project contains the source code and Matlab examples used for highest row degree coefficient matrix of a polynomial matrix t(s). Very useful in polynomial matrix theory which is directly connected with linear multivariable control systems For example if we in put the matrix         [ s^2+3*s, s+1]      T= [ 5*s, s^4]         [ 5*s^6, s^2]         [ 3*s^3+6, s^3+5] we'll get      ans =        1 0        0 1        5 0        3 1.

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