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-- Simple Lua program that implements the -- bisection method for solving non-linear equations function bisect(f,a,b,fa,fb) write(n," a=",a," fa=",fa," b=",b," fb=",fb,"\n") local c=(a+b)/2 if abs(a-b) < delta then return c end n=n+1 local fc=f(c) if fa*fc < 0 then return bisect(f,a,c,fa,fc) else return bisect(f,c,b,fc,fb) end end -- find root of f in the inverval [a,b]. -- bisection requires that f(a)*f(b) < 0 function solve(f,a,b) delta=1e-6 -- tolerance n=0 local z=bisect(f,a,b,f(a),f(b)) write(format("after %d steps, root is %.10g\n",n,z)) end -- test the bisection code with -- a function: x^3 - x - 1 function f(x) return x*x*x - x - 1 end solve(f,1,2)
Descriptions in this dictionary are ©1997-99 Neal Ziring. Some examples copyright of their respective authors. Some technologies and languages are trademarked. Permission to copy descriptions is granted as long as authorship credit is preserved.
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Dictionary and script maintained by Neal Ziring, last major modifications 3/18/98. Most recent additions to dictionary and master list, 1/00.