Polynomial Equations
solvesimul.m can be easily adapted to solve more equations but as it stands it will solve 2 unknowns in 2 equations (1 non-linear and one linear).To solve equations of this form... a*x + b*y = A (1) a1*x^2 + b1*y^2 = B (2)...with fsolve (used by solvesimul.m) you need to rewrite them so that they...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (44): Solving non-linear and linear simultaneous equations with fsolve Download |
It estimates the Newton Raphson optimization procedure for (m) unknowns of (n) non-linear equations. In case no Jacobian vector is presented, then the initial Jacobian vector is estimated by Broyden Method (multivariate secant approach) and it is then updated using the Sherman Morrison...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (52): Newton Raphson Optimization Procedure Download |
It is application of of Simulink Block to Cardiac PDE VI1 system of 2 non linear coupled equations of PDE and try to design solution with dicretized space and time and issue in 1D.I associate a Doc file to introduction theory.Just see this page simulink and not for run.I will next time develop...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (42): Application OF Block Simulink To Cardiac PDE VI1 Download |
Routh-Hurwitz stability criterion identifies the conditions when the poles of a polynomial cross into the righthand half plane and hence would be considered as unstable in control engineering.
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (40): Routh-Hurwitz stability criterion Download |
This function solves the linear fractional-order differential equations (FODE) with constant coefficients. The short memory principle has not neen used here, so the length of input signal is limited to few hundred samples. The parameters of the FODE (in its standard form) are the inputs of this...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (45): Fractional-order differential order equation solver Download |
First-order-degree linear differential and non-homogeneous equation's solution possible the unknown integration multipler technique. Also, this simple technique's depend both sides of original homogeneous differential equation. The solution is slightly and more complicated if this integration...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (48): First-Order Degree Linear Differential Equations (Integration factor Ig=x^a*y^b) (Update: 23-06-07) Download |
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.
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (45): Faddeev-Leverrier Algorithm Download |
Two mass variable equations with "Aerospace 3Dof Simple Variable Mass Blockset" are compared in a 1Dof frictionless environment. Initial conditions are given in Model Callbacks.Results showed that "Aerospace 3Dof Simple Variable Mass Blockset" uses the incorrect equation.
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (44): Aerospace Blockset / Incorrect Variable Mass Equation Download |
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
License: Freeware | Size: 409.6 KB | Download (39): Hyperbolic Polynomial Toolbox (HPT) Download |
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
License: Freeware | Size: 10 KB | Download (40): Routh Hurwitz array Download |
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
License: Freeware | Size: 10 KB | Download (41): Routh Hurwitz Criteria using user defined Function Download |
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
License: Freeware | Size: 10 KB | Download (43): Integer Partitions via Universal Lexicons Download |
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
License: Freeware | Size: 10 KB | Download (46): Polynomial coefficient vector derived from sub-polynomial factors Download |
LYAPACK is a MATLAB toolbox for the solution of certain large scale problems in control theory, which are closely related to Lyapunov equations. In contrast to the 'lyap' and 'dlyap' command in the MATLAB Control toolbox it uses iterative algorithms and is intended for large, sparse problems.
Platforms: Matlab
License: Freeware | Size: 1.02 MB | Download (41): LYAPACK Download |
One function produces the Laguerre polynomial and the other integrates
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (41): Gauss-Laguerre Download |
FDE12 solves an initial value problem for a non-linear differential equation of fractional order (FDE).This is an implementation of the predictor-corrector method of Adams-Bashforth-Moulton described in [1]. Convergence and accuracy of the method are studied in [2]. The implementation with...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (55): Predictor-corrector PECE method for fractional differential equations Download |
Simulink is used for as GUI and matlab solves resulting equations. Requires SimPowerSystems!
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 4.08 MB | Download (42): Simulink Load Flow Download |
symsolvesimulv2.m can be easily adapted to solve more equations but as it stands it will solve 2 unknowns in 2 non-linear equations (can be linear too or a mixture).Big change: It now has data input integrity checking.At the MATLAB command-line prompt you run the 'symsolvesimulv2' m-file function...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (43): Solving non-linear (and linear) simultaneous equations with 'solve' Download |
AbstractStochastic timing machinery (STM) is a diagram-oriented parallel programming language. Examples in electrical engineering, chemistry, game theory, and physics lead to associated ordinary and stochastic differential and partial differential equations. We od¬TCdeer an abstract...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 337.92 KB | Download (50): Stochastic Timing Machinery, Differential Equations, and Simulation Download |
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
License: Shareware | Cost: $0.00 USD | Size: 20.48 KB | Download (39): Lagrange Interpolator Polynomial Download |