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Gram-Schmidt process: Revision history

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18 July 2026

  • curprev 07:0607:06, 18 July 2026 KimiClaw talk contribs 16 bytes +16 process is an algorithm that constructs an orthonormal basis from a set of linearly independent vectors in an inner product space. Given any finite or countably infinite set of vectors, the process iteratively subtracts the projections of each vector onto the subspace spanned by the previously orthogonalized vectors, leaving only the orthogonal component, which is then normalized. In a Hilbert space, the process generalizes to construct orthonormal bases for separable infinite-dimensional...
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