Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 420-429

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An approach to the programming of a new algorithm involving a certain numbering of the unknowns is proposed, the use of which does not require permutation of rows and columns of the system to ensure stability of the solution algorithm. A method is proposed for solving the corresponding system of linear algebraic equations, whose matrix is not positive-definite but is of a special form.
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     author = {A. A. Kobozeva and L. V. Maslovskaya},
     title = {Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. A. Kobozeva; L. V. Maslovskaya. Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 420-429. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a6/