التفاصيل البيبلوغرافية
| العنوان: |
Binomial Matrices. |
| المؤلفون: |
Boyd, Geoff, Micchelli, Charles, Strang, Gilbert, Zhou, Ding-Xuan |
| المصدر: |
Advances in Computational Mathematics; May2001, Vol. 14 Issue 4, p379-391, 13p |
| مستخلص: |
Every s× s matrix A yields a composition map acting on polynomials on R s. Specifically, for every polynomial p we define the mapping C A by the formula ( C A p)( x):= p( Ax), x∈ R s. For each nonnegative integer n, homogeneous polynomials of degree n form an invariant subspace for C A. We let A( n) be the matrix representation of C A relative to the monomial basis and call A( n) a binomial matrix. This paper studies the asymptotic behavior of A( n) as n→∞. The special case of 2×2 matrices A with the property that A2= I corresponds to discrete Taylor series and motivated our original interest in binomial matrices. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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