A New Solution Method for Orthogonal Eigenvectors of Real Symmetric Matrices
In order to overcome the limitation that"orthogonal vector set can be obtained only under the conditions of given vector set",a new solution method for orthogonal eigenvectors corresponding to multiple eigenvalues of real symmetric matrices is given by using the definition of eigenvectors and orthogonality and the non-zero solution of homogeneous linear equations.The result shows that the proposed method can reduce the amount of computation effectively,and can directly write the orthogonal eigenvectors corresponding to the multiple eigenvalues of the real symmetric matrices.
real symmetric matricesSchmidt orthogonalization procedureorthogonaleigenvectorssystem of homogeneous linear equationsnonzero solutions
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