A symmetric real matrix admits only real eigenvalues. We show how one can find these eigenvalues as well as their corresponding eigenvectors without using Mathematica's built-in commands (Eigenvalues and Eigenvectors). This iterative technique is described in great details in the book by Kenneth J....
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V.N. KublanovskayaElsevier B.V.USSR Computational Mathematics and Mathematical PhysicsV. N. Kublanovskaya, “Newton’s method for finding eigenvalues and eigenvectors of a matrix,” Zh. Vychisl. Mat. Mat. Fiz , 12 , No. 6, 1371–1380 (1966)....
A Method for Finding LR Fuzzy Eigenvectors of Real Symmetric Matrixdoi:10.71602/tfss.2024.1128565Xinyi DuanHangru LinXiaobin GuoTransactions on Fuzzy Sets & Systems