Orthogonality Via Gram–Schmidt (2)— Gram–Schmidt Projection Formula

This JC mini lecture develops the core Gram–Schmidt projection formula used to construct orthogonal polynomial families.
A polynomial of degree n+1 is decomposed by subtracting its projections onto earlier basis elements, producing the next orthogonal function in the sequence.
This step guarantees orthogonality with all lower-degree polynomials and prepares the structure required for the classical three-term recurrence.
#numericalanalysis #JCminilecture #physicsmajor #mathematicalphysics #STEMSTEP #mathmajor

Видео Orthogonality Via Gram–Schmidt (2)— Gram–Schmidt Projection Formula канала JC-PhysicsMath