The method of Jacobi for unsymmetric eigenproblems
Leon Chahinian · 30th Structures, Structural Dynamics and Materials Conference · 1989
The complete solution of the eigenvalue problem via the Jacobi method is widely used in symmetric problems. Moreover, where the problem can be stated as the product of two symmetric matrices, as in problems of dynamics, a solution consisting of two Jacobi solutions is common practice. This paper offers a complete solution of the unsymmetric problem via a variation of the Jacobi method. The eigenvalues emerge in algebraic order, and there is no restriction of symmetry in the problem. Proof of convergence for the real problem with a real solution is included.