Numerical analysis

Pareto front in matlab

The following Matlab project contains the source code and Matlab examples used for pareto front. Identifying the Pareto Front from a set of points in a multi-objective space is the most important and also the most time-consuming task in multi-objective optimization.

Adaptive algorithm for linear parabolic problems for 2d polygonal domain in matlab

The following Matlab project contains the source code and Matlab examples used for adaptive algorithm for linear parabolic problems for 2d polygonal domain. Solves FEM analogue to parabolic equation: d/dt(u)-div(D(x,t)u) +C*Nabla(u)+R*u= f(x,t) u=u(x,t) scalar fct u(x,t) = u_d(t) on Dirichlet-edge D(x,t)*Nabla(u)*n(x) = g(x,t) on Neumann-edge.

Analytical solution for orthogonal linear least squares in two dimensions in matlab

The following Matlab project contains the source code and Matlab examples used for analytical solution for orthogonal linear least squares in two dimensions. ORTHLLS2D returns the Orthogonal Linear Least Squares estimate for parameters of line a x + b y + c = 0 function f = OrthLLS2D(x, y) Inputs x and y must be real vectors of equal size.

Finds the roots of a set of nonlinear equations in matlab

The following Matlab project contains the source code and Matlab examples used for finds the roots of a set of nonlinear equations . derives number of dimensions ( variables ) of given set of function ( class - inline , symbolic or char ) then finds the roots of a set ( nonlinear equations ) Example: F = inline ( '[ ( x ^ 2 ) + ( x * y ) - 10 ; y + ( 3 * ( x * ( y ^ 2 ) ) ) - 57 ]' ) ; smartnonlinrgen ( F ,[ 1 ; 1 ] , [ 2 ; 2 ] , 100 ) ans =     2.

Coin and dice in matlab

The following Matlab project contains the source code and Matlab examples used for coin and dice. Compute the estimated average number of coin tosses (or dice throws) to get a given sequence of Heads-and-Tails (or a sequence of intergers ranging from 1 to 6) The inputs are: - The Sequence (row vector) - The Number of Monte-Carlo Simulations The outputs are the estimated (Monte-Carlo) expectation of number of tosses/throws to get the input sequence, along with the standard deviation of the error (due to the randomness of the simulation).

Finds the root(s) of a function of one variable, including complex roots, using newton's method. in matlab

The following Matlab project contains the source code and Matlab examples used for finds the root(s) of a function of one variable, including complex roots, using newton's method. . NEWTZERO(f,xr,n,tol) finds roots of function f near guess xr with n iterations to tolerance tol.

Generalized orthogonalization in matlab

The following Matlab project contains the source code and Matlab examples used for generalized orthogonalization. Input:   A: (m x n) matrix   B: (m x m) matrix, symmetric positive-definite Output:   Q : (m x k), where k is the rank of A   span<Q> = span<A> the columns of Q span the same space as the   columns of A, and the number of columns of Q is the rank of A.

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