Geodesic
On the computation of characteristic polynomial coefficients
Numerical methods and programming, Tome 9 (2008) no. 3, pp. 366-370.

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Several algorithms for computing the exact values of characteristic polynomial coefficients is considered for the case of large-scale matrices. Some recommendations on using these algorithms according to matrix sizes are given. The parallel implementation of the algorithms is discussed. A number of experimental results obtained on a computing cluster are presented.
Keywords: computation of characteristic polynomial, computational complexity, parallel algorithms. 
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     author = {O. N. Pereslavtseva},
     title = {On the computation of characteristic polynomial coefficients},
     journal = {Numerical methods and programming},
     pages = {366--370},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2008_9_3_a15/}
}
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O. N. Pereslavtseva. On the computation of characteristic polynomial coefficients. Numerical methods and programming, Tome 9 (2008) no. 3, pp. 366-370. http://geodesic.mathdoc.fr/item/VMP_2008_9_3_a15/