Solving Polynomial Division

The code implements the so called Faddeev-Leverrier algorithm to compute the coefficients of the characteristic polynomial of a given matrix and to get the inverse of the matrix without extra cost.

This junior/senior level text presents basic and intermediate programming techniques that are commonly employed when solving engineering problems.For a full book description and ordering information, please refer to http://www.mathworks.com/support/books/book1476.jsp.

Analytical Target Cascading (ATC) is a method for solving large-scale distributed optimization problems. It can be applied to multidisciplinary design optimization (MDO) problems. A very simple example problem was chosen so that the ATC solution process could be illustrated without requiring much...


Platforms: Matlab

Determinantal matrix representations of hyperbolic polynomials are a current topic of interest and research among those working with LMI's (Linear Matrix Inequalities) and SDP (semi-definite programming). This toolbox was used to demonstrate some of the theorems presented in the author's Ph.D....


Platforms: Matlab

Single tank system nonlinear model was develop & finding the operating point of it using script file of the matlab with solving of ode for it and ploting the response


Platforms: Matlab

Given the coefficients of the characteristic polynomial the Routh-Hurwitz array is created and printed. Additionally, this method shows some results from the array relating to the stability of the system.


Platforms: Matlab

RA=ROUTH(R,EPSILON) returns the symbolic Routh array RA for polynomial. The following special cases are considered:1) If the first element of a row becomes zero OR2) If one encounters a row full of zeros.>>syms ep>>a=routh([1 1 2 2 3 5],ep)The above given case is for encountering a zero in the...


Platforms: Matlab

This book is written for computational scientists who would like to incorporate state-of-the-art computational methods for solving large sparse systems of linear equations.For a full book description and ordering information, please visithttp://www.mathworks.com/support/books/boo...=-1&language=-1


Platforms: Matlab

Analytical Target Cascading (ATC) is a method for solving large-scale distributed optimization problems. It can be applied to multidisciplinary design optimization (MDO) problems. A very simple example problem was chosen so that the ATC solution process could be illustrated without requiring much...


Platforms: Matlab

DIRECTORIES:- SMALLPART/smallpart.mclusterindex.m- PARTITIONS/partition.mcluster.mBLLSG.mBoth are based on the Cluster Polynomial Representation of binary words of arbitrary length. The theory of Universal Lexicons is covered in the following Technical Report (submitted in J. App. Comp....


Platforms: Matlab

For given p(x) = PROD[i=1,m]{SUM[j=2,n+2]{(A(i,j)*x^(j-2))^A(i,1)}} we shall get p(x) = SUM[s=1,N+1]{p(s)^(N+1-s)} For example If p(x) = (x-4)^5 * (3x^6-7x^3+5x+2)^2 * (x^3+8)^3 * x^2 or A = [ 5 -4 1 0 0 0 0 0 2 2 5 0 -7 0 0 3 3 8 0 0 1 0 0 0 1 0 0 1 0 0 0 0 ] then from p = polyget(A) we get p =...


Platforms: Matlab

This tutorial shows how to use the MATLAB solver DDE23 to solve delay differential equations (DDEs) with constant delays. The solver is available in MATLAB 6.5 and later.The tutorial briefly discusses the differences between solving ODEsand DDEs, and describes the techniques used in DDE23. The...


Platforms: Matlab

One function produces the Laguerre polynomial and the other integrates


Platforms: Matlab

This tutorial shows how to formulate, solve, and plot the solutions of boundary value problems (BVPs) for ordinary differential equations.The tutorial introduces the function BVP4C (available in MATLAB 6.0 and later), briefly describes the numerical method used, and illustrates solving BVPs with...


Platforms: Matlab

A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A general multivariate polynomial is captured with the syntaxp = sum( c_i * prod( x_j^p_ij ) ) + kwhere the summation is over i, the product over j, and c_i is the set of...


Platforms: Matlab

The two inputs X and Y are vectors defining a set of N points. The function uses Lagrange's method to find the N-1th order polynomial that passes through all these points, and returns in P the N coefficients defining that polynomial. Then, polyval(P,X) = Y.R returns the x co-ordinates of the N-1...


Platforms: Matlab

This program finds numerator and denominator polynomials such that their division equals as many terms as possible of the user inputted function.


Platforms: Matlab

The central thrust of the book is to demonstrate the power of interweaving analytics with computing methods during problem solving.For a full book description and ordering information, please refer to http://www.mathworks.com/support/books/book1602.jsp.


Platforms: Matlab

Plots data points and first through sixth degree polynomials. Displays polynomial coefficients and r-squared values in command window. Allows user to choose range. Also allows user to remove trendlines that don't appear to fit.


Platforms: Matlab

This interpolation package re-implements Matlab's built in methods ppval (1-d case polynomial evaluator) and ppual (multidimensional polynomial evaluator) which are used by Matlab to evaluate polynomial in their so called "pp-form". Matlab's built in versions are extrimely slow even though...


Platforms: Matlab