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Polynomial Equations software
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Polynomial Equations

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Solving non-linear and linear simultaneous equations with fsolve 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


Added: June 10, 2013 | Visits: 792

Newton Raphson Optimization Procedure 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

Added: July 25, 2013 | Visits: 568

Application OF Block Simulink To Cardiac PDE VI1 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

Added: April 10, 2013 | Visits: 520

Routh-Hurwitz stability criterion 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

Added: August 31, 2013 | Visits: 530

Fractional-order differential order equation solver 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 Equations (Integration factor Ig=x^a*y^b) (Update: 23-06-07) 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


Added: June 11, 2013 | Visits: 342

Faddeev-Leverrier Algorithm 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

Added: August 10, 2013 | Visits: 536

Aerospace Blockset / Incorrect Variable Mass Equation 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

Added: April 26, 2013 | Visits: 563

Hyperbolic Polynomial Toolbox (HPT) 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

Added: April 25, 2013 | Visits: 420

Routh Hurwitz array 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

Added: June 24, 2013 | Visits: 337

Routh Hurwitz Criteria using user defined Function 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

Added: April 03, 2013 | Visits: 409

Integer Partitions via Universal Lexicons 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

Polynomial coefficient vector derived from sub-polynomial factors 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


Added: April 29, 2013 | Visits: 502

LYAPACK 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

Added: May 27, 2013 | Visits: 336

Gauss-Laguerre 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

Predictor-corrector PECE method for fractional differential equations 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

Added: August 04, 2013 | Visits: 424

Simulink Load Flow 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

Solving non-linear (and linear) simultaneous equations with 'solve' 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

Stochastic Timing Machinery, Differential Equations, and Simulation 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

Added: September 08, 2013 | Visits: 277

Lagrange Interpolator Polynomial 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

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