A number is accurate to a certain number of significant digits if the error is less than half a unit in the last place. Understanding propagation of errors through arithmetic operations (addition, subtraction, multiplication, division) is vital for stable algorithm design.
A derivative-free alternative to Newton's method. 3. Systems of Linear Algebraic Equations
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Interpolation is the art of estimating the value of a function for an intermediate value of the independent variable, given a set of discrete data points.
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Applicable for unequal intervals. It does not require difference tables but constructs a polynomial basis function directly.
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