Recurrence Relations between Symmetric Polynomials of n-th Order
نویسنده
چکیده
The method of symmetric polynomials (MSP) was developed for computation analytical functions of matrices, in particular, integer powers of matrix. MSP does not require for its realization finding eigenvalues of the matrix. A new type of recurrence relations for symmetric polynomials of order n is found. Algorithm for the numerical calculation of high powers of the matrix is proposed.This computational procedure is more accurate in comparison with ordinary matrix multiplication. Mathematics Subject Classification: 11C, 34A
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