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chap 3 hw

# chap 3 hw - function bisection(func,xl,xu,es,maxit%Problem...

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function bisection(func,xl,xu,es,maxit) %Problem 5.8 using bisection method test=func(xl)*func(xu); if test>0,error( 'no sign change' ), end iteration=0; xr=xl; disp( ' i xl xu xr f(xl) f(xr) f(xr)f(xl) ea' ); while (1) xrold=xr; xr=(xl+xu)/2; iteration=iteration+1; if xr~=0, ea=abs((xr-xrold)/xr); end test=func(xl)*func(xr); fprintf( ' %1d %6.5f %6.5f %6.5f %6.5f %6.5f %6.5f %4.2f\n' ,iteration, xl,xu,xr,func(xl),func(xr), test, ea) if test<0 xu=xr; elseif test>0 xl=xr; else ea=0; end if ea<=es||iteration>=maxit, break , end end

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function falseposition(func,xl,xu,es,maxit) %Problem 5.8 falseposition test=func(xl)*func(xu); if test>0,error( 'no sign change' ), end iteration=0; xr=xl; disp( ' i xl xu f(xl) f(xu) xr f(xr) f(xl)f(xr) ea' ); while (1) xrold=xr; xr=xu-(func(xu)*(xl-xu))/(func(xl)-func(xu)); iteration=iteration+1; if xr~=0, ea=abs((xr-xrold)/xr); end test=func(xl)*func(xr); fprintf( ' %1d %2.1f %6.5f %6.5f %6.5f %6.5f %6.5f %6.5f %5.3f\n' ,iteration, xl,xu,func(xl),func(xu),xr,func(xr), test, ea) if test<0 xu=xr; elseif test>0 xl=xr; else ea=0; end if ea<=es||iteration>=maxit, break , end end
function modsecant(xi,spf,iter) %problem 6.4, using modified secant method

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