Geodesic
Linear algebra tests: Jacobi symmetric matrices with equal diagonal elements
Numerical methods and programming, Tome 1 (2000) no. 3, pp. 1-11.

Voir la notice de l'article provenant de la source Math-Net.Ru

The formulas for computing determinants, eigenvalues, and eigenvectors as well as for inverting Jacobi symmetric matrices with equal diagonal elements are given. As an illustration, one class of such matrices arising frequently in practical computations is considered.
Mots-clés : Jacobi matrices, determinants of matrices, matrix inversion
Keywords: eigenvalue problem, eigenvectors, eigenvalues. 
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     author = {O. B. Arushanyan},
     title = {Linear algebra tests: {Jacobi} symmetric matrices with equal diagonal elements},
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O. B. Arushanyan. Linear algebra tests: Jacobi symmetric matrices with equal diagonal elements. Numerical methods and programming, Tome 1 (2000) no. 3, pp. 1-11. http://geodesic.mathdoc.fr/item/VMP_2000_1_3_a0/