Numerical Methods using Matlab, 2e: e2pg112b.m - File Exchange

F=f302(x);

F=f303(x)

F=f304(x);

F=f305(x);

F=f307(x);

Q=aitken(x,y,xval) Aitken's method for interpolation.

W=romb(func,a,b,d) Implements Romberg integration.

[a,om]=ellipgen(nx,hx,ny,hy,G... Function either solves:

[c1,c2]=lfit(x,y)

[f,a]=golden(func,p,tol) Golden search for finding min of one variable non-linear function.

[fit,fitot]=fitness(criteria,...

[fit,fitot]=fitness2d(criteri...

[fnew,xnew]=asaq(func,x,maxst... Determines optimum of a function using simulated annealing.

[lam,u]=eiginv(A,mu,tol) Determines eigenvalue of A closest to mu with a tolerance tol.

[lam,u]=eigit(A,tol) Solves EVP to determine dominant eigenvalue and associated vector

[r1,r2,im1,im2]=solveq(u,v,n,...

[res, it]=fnewton(func,dfunc,...

[res, it]=fnewtsym(func,x0,to...

[res, it]=schroder(func,dfunc...

[res, noiter]=mincg(f,derf,ft... Finds local mi of a multivariable non-linear function in n variables

[rts,it]=bairstow(a,n,tol) Bairstow's method for finding the roots of a polynomial of degree n.

[tvals, yvals]=abm(f,tspan,st... Adams Bashforth Moulton method for solving

[tvals, yvals]=eulertp(f,tspa... Euler trapezoidal method for solving

[tvals, yvals]=feuler(f,tspan... Euler's method for solving

[tvals, yvals]=fhamming(f,tsp... Hamming's method for solving

[tvals, yvals]=fhermite(f,tsp... Hermite's method for solving

[v, dv]=f509(t,x)

[x1,fr,it]=newtmvsym(x,f,n,to... Newton

[x1,x2]=rootquad(a,b,c)

[xsol,basic]=barnes(A,b,c,tol... Barnes' method for solving a linear programming problem.

[xv,it]=broyden(x,f,n,tol) Broyden's method for solving a system of n non-linear equations

[xv,it]=newtonmv(x,f,jf,n,tol... Newton's method for solving a system of n non-linear equations

[xval,maxf]=optga(fun,range,b... Determines maximum of a function using the Genetic algorithm.

approx=plotapp(func,rangelow,... Plots a function and allows the user to approximate a

b=mregg(Xd,con,ar,lab) Multiple linear regression, using least squares.

chrom1=matesome(chrom,matenum... % Example call: chrom1=matesome(chrom,matenum)

chrom=mutate(chrom,mu)

chromosome=genbin(bitl,numchr...

diffgen(func,n,x,h) Numerical differentiation.

f=f308(v) set f vector to size required by function newtonmv.

filon(func,case,k,l,u,n) Implements filon's integration.

filonmod(func,case,k,l,u,n) Implements filon's integration.

ftauv=ftau2cg(tau);

fv=f301(x)

fv=f306(x);

fv=f401(x)

fv=f402(x)

fv=f403(x)

fv=f404(x)

fv=f405(x)

fv=f504(t,x)

fv=f505(t,x)

fv=f506(t,x)

fv=f601(x,y)

fv=f801(x);

fv=f802(x)

fv=f901(t,x)

gauss2v(func,a,b,c,d,n) Implements 2 variable Gaussian integration.

jf=f309(v) set jf matrix to size required by function newtonmv.

neurf=f507(t,x) Calculate synaptic current

newchrom=selectga(criteria,ch... % Example call: newchrom=selectga(criteria,chrom,a,b)

p=fun1(x) A simple function definition

pd=f801pd(x);

q=f310(p)

q=fgauss(func,a,b,n) Implements Gaussian integration.

q=simp2v(func,a,b,c,d,n) Implements 2 variable Simpson integration.

rkgen.m Runge Kutta methods for solving

rval=binvreal(chrom,a,b) Converts binary string chrom to real value in range a to b.

s=gaherm(func,n) Implements Gauss-Hermite integration.

s=galag(func,n) Implements Gauss-Laguerre integration.

simp1(func,a,b,m) Implements Simpson's rule using vectors.

simp2(func,a,b,m) Implements Simpson's rule using for loop.

u=fwave(nx,hx,nt,ht,init,init... Solves hyperbolic equ'n, e.g. wave equation.

u=heat(nx,hx,nt,ht,init,lowb,... Solves parabolic equ'n.

v=f101(x)

v=f503(t,x)

v=f508(t,y)

v=f510(t,x)

v=f803(x)

v=f804(x)

v=f805(x)

v=jarrett(f,x1,x2,tol)

v=rombergx(f,tspan,intdiv,ini...

w=f412(x,z)

xdash=solvercg(a,b,n,tol) Solves linear system ax = b using conjugate gradient method.

y=f406(x)

y=f407(x)

y=f407a(x)

y=f408(x)

y=f409(x)

y=f410(x)

y=ftable(fname, lowerb,upperb...

y=twopoint(x,C,D,E,F,flag1,fl... Solves 2nd order boundary value problem

yprime=f501(t,y)

yprime=f502(t,y)

z=f411(x,y)

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e2pg020b.m

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Highlights from Numerical Methods using Matlab, 2e

Highlights from
Numerical Methods using Matlab, 2e