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10 cards from this deck
Approximate solutions to f(x)=0f(x) = 0f(x)=0
f(x)=0f(x) = 0f(x)=0 where fff is a polynomial function
f(a)f(a)f(a) and f(b)f(b)f(b) must have opposite signs
Repeatedly halving an interval containing the solution
m=a+b2m = \frac{a + b}{2}m=2a+b
Error approximately halves with each iteration
Choose interval [a,m][a, m][a,m]
Informal way of writing algorithms
Don't know in advance how many iterations needed
Always converges if solution exists in initial interval
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