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Highlights from
Numerical Methods Using MATLAB, 3e

• A=abm(f,T,Y)
• D=qr1(A,epsilon) Input - A is a symmetric tridiagona nxn matrix
• D=qr2(A,epsilon) Input - A is a symmetric tridiagonal nxn matrix
• E=euler(f,a,b,ya,M)
• F=findiff(p,q,r,a,b,alpha,bet...
• H=hamming(f,T,Y)
• H=heun(f,a,b,ya,M)
• L=linsht(F1,F2,a,b,alpha,beta... Input - F1 and F2 are the systems of first-order equations
• L=ls(F1,F2,a,b,alpha,beta,M) Input - F1 and F2 are the systems of first-order equations
• M=milne(f,T,Y)
• P=pcsfit(X,S)
• R=rk4(f,a,b,ya,M)
• R=rkf45(f,a,b,ya,M,tol)
• S=csfit(X,Y,dx0,dxn)
• T4=taylor(df,a,b,ya,M)
• T=house (A) Input - A is an nxn symmetric matrix
• T=rctrap(f,a,b,n)
• U=crnich(f,c1,c2,a,b,c,n,m)
• U=dirich(f1,f2,f3,f4,a,b,h,to... Input - f1,f2,f3,f4 are boundary functions input as strings
• U=forwdif(f,c1,c2,a,b,c,n,m)
• X=backsub(A,B) Input - A is an n x n upper-triangular nonsingular matrix
• X=gseid(A,B,P,delta, max1)
• X=jacobi(A,B,P,delta, max1)
• X=trisys (A,D,C,B) Input - A is the sub diagonal of the coefficient matrix
• Z=srule(f,a0,b0,tol0)
• [A,B]=lsline(X,Y) Input - X is the 1xn abscissa vector
• [A,B]=tpcoeff(X,Y,M)
• [A,df]=diffnew(X,Y)
• [C,D]=newpoly(X,Y) Input - X is a vector that contains a list of abscissas
• [C,L]=lagran(X,Y) Input - X is a vector that contains a list of abscissas
• [C,X,Y]=cheby(fun,n,a,b) Input - fun is the string function to be approximated
• [D,err,relerr,n]=diffext(f,x,...
• [L,n]=difflim(f,x,toler)
• [P,iter,err]=newdim(F,JF,P,de... Input-F is the system saved as the M-file F.m
• [P0,y0,err,P]=grads(F,G,P0,ma...
• [R,quad,err,h]=romber(f,a,b,n...
• [S,E,G]=golden(f,a,b,delta,ep...
• [SRmat,quad,err]=adapt(f,a,b,...
• [T,Z]=rks4(F,a,b,Za, M)
• [V,D]=jacobi1(A,epsilon)
• [V0,y0,dV,dy]=nelder(F,V,min1...
• [c,err,yc]=bisect(f,a,b,delta)
• [c,err,yc]=regula(f,a,b,delta...
• [lambda,V]=invpow(A,X,alpha,e...
• [p,Q]=steff(f,df,p0,delta,eps...
• [p,y,err]=muller(f,p0,p1,p2,d...
• [p0,err,k,y]=newton(f,df,p0,d...
• [p1,err,k,y]=secant(f,p0,p1,d...
• approot (X,epsilon) Input - f is object function saved as an M-file named f.m
• finedif(f,g,a,b,c,n,m)
• fixedpoint(g,p0,tol,max1)
• fixpt(g,p0,tol,max1) Input - g is the iteration function
• g(x)
• lspoly(X,Y,M)
• lufact(A,B)
• power(A,X,epsilon,max1) NUMERICAL METHODS: MATLAB Programs
• power1(A,X,epsilon,max1)
• quad=gauss(f,a,b,A,W)
• quadmin(f,a,b,delta,epsilon)
• s=simprl(f,a,b,M)
• s=traprl(f,a,b,M)
• seidel(G,P,delta, max1)
• sroot(a)
• uptrbk(A,B)
• z=tp(A,B,x,M)
• readme.m
• View all files