On the coding of Jacobi's method of computing eigenvalues and eigenvectors of real, symmetric matrices
Fernando Jose Corbató · Preprints of papers presented at the 14th national meeting of the Association for Computing Machinery on - ACM '59 · 1959
Computation Center, M.I°To Jacobi~s method 1'2,3 consists of performing consecutive 2 by 2 rotations on a real, symmetric, matrix, H, with elements H(km), k gm, where the largest magnitudes offdiagonal element, H(iJ), is used as a "pivot".A rotation is defined as the following unitary transformation where the primes indicate the new elements.H ~