Geodesic
Hamilton form of the Jacobi matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 159-164
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The algorithm of congruent transformation of the positive definite (semi-definite) Jacobi matrix to the form, in which the sum of inner row elements equals to zero, is presented. The definition domain of the parameter of such (not unique) transformation is defined. 
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Yu. I. Kuznetsov. Hamilton form of the Jacobi matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 159-164. http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a6/

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