Tag Archives: Orthogonal Functions

Gram-Schmidt Orthogonalization in Mathematica



The Gram-Schmidt process takes a set of N vectors or functions and an inner product. It then builds a set of N orthogonal vectors/functions from the original ones. It is a process that can be easily automated using symbolic calculations.

This is done using Mathematica in this notebook. It begins with defining the inner product as a Mathematica function:

ip[u_, v_] := Integrate[u v, {x, 0, X}]

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