Numberical Methods

Front 1

_______ is the name given to the error that occurs when one attempts to use a number that is too large (in magnitude) to represent.

Back 1

over flow

Front 2

If p is approximated by p* the formula for relative error is given by _______.

Back 2

|p-p*|
------
p

Front 3

A method is said to be _____ if small changes in the input lead to small changes in the output.

Back 3

stable

Front 4

Suppose {Bn}from n=1 to infinity -> 0 and {an}from n=1 to infinity -> a. If there exists k > 0 where |an - a| =< k|Bn| we say an -> a with rate _________.

Back 4

OBn

Front 5

In the binary representation of a floating opint number, the bits are partitioned into the sign bit, the exponent, and the _________

Back 5

mantissa

Front 6

In Maple, the function _______ is used to compute the decimal value for a floating point number.

Back 6

evalf{};

Front 7

By definition, f has a fixed point at x=p provided _______.

Back 7

f(p) = p.

Front 8

If g belongs to C[a,b] and ________ for all x belonging to [a,b] then g has a fixed-point in [a,b].

Back 8

g(x) belongs to [a,b]

Front 9

Taylor's Theorem states f(x) = Pn(x) + Rn(x), where Pn(x) = f(x0) + __________ + f``(x0)(x-x0)^2
------
2!

Back 9

f`(x0)(x-x0)