For ten points, identify this process used to generate an orthogonal basis from any linearly independent set.
The Arnoldi method is an application of this process to the Krylov sequence. This process allows the existence of a smooth deformation retraction of one type of Steifel manifold into the other. The HJLS algorithm is numerically unstable because of its reliance on this process, which is also numerically unstable as shown by Golub and Van Loan. This process can be used to diagonalize a nondegenerate symmetric bilinear form, and it can generate the Legendre   polynomials over the open interval (−1,1) with weighting function 1. For ten points, identify this process used to generate an orthogonal basis from any linearly independent set.
The Arnoldi method is an application of this process to the Krylov sequence.
Gram-Schmidt process [accept things like  algorithm  and such for  process ]