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This document discusses methods for solving symmetric eigenvalue problems numerically. It introduces eigenvalue problems and notes they are important in classical mechanics. It describes using Jacobi transformations or Householder transformations to diagonalize matrices. Householder transformations first reduce the matrix to tridiagonal form, then QR factorization is used to further diagonalize it. The document notes that eigenvalue problems require O(N3) steps to solve and are numerically challenging.

Author

Khairil Sangbima

Language

EN