Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing. Progress in Natural Science , 2002 , 12 (1) : 77～80.H. H. Shou, R. Martin, I. Voiculescu, and G. Wang. Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing. Progress...
This may be condensed into matrix form: [B0n(t0)…Bnn(t0)⋮⋮B0n(tm)…Bnn(tm)][b0⋮bn]=[p0⋮⋮pm], or (7.9)MB=p. Assuming the number of data points, m +1, is larger than the degree n of the curve, this linear system is overdetermined. One may simply multiply both...
This paper is devoted to the study of linear flat outputs for linear controllable time-invariant systems in polynomial matrix form. We characterize the transformations expressing the system variables in terms of a linear flat output and derivatives, called defining matrices, as the kernel of a polyn...
Polynomial matrices are important in MIMO systems and can be used to represent causal FIR systems in the form of a polynomial matrix in z^-1. AI generated definition based on: Wavelet Analysis and Its Applications, 1998 About this pageAdd to MendeleySet alert...
The properties of the lower triangular functional matrix Ln[x] associated with a polynomial of binomial type are discussed in this paper, in which the entry-(i,j) of Ln[x] is equal to lij =(?)i-j(x)l(i,j)if i≥j and equal to 0 otherwise, with l(i, k)l(k,j) = l(i,j...
1) polynomial matrix 多项式矩阵 1. In this paper, the concepts of the least common multiple of polynomial matrices and the prime polynomial matrix are introduced, and some algebraic properties of the greatest common divisor and of the least common multiple of polynomial matrices are given. 讨论...
POLYNOMIAL MATRIX METHOD OF EIGENSTRUCTURE ASSIGNMENT 来自 知网 喜欢 0 阅读量: 24 作者: GY He 摘要: In this paper the eigenstructure assignment problem under state feedback is discussed byusing Yokoyama-Han canonical form. For every n-dimensional eigenvector (generalized ei-genvector) only n_...
matrix polynomial; 2) derive its associated ordinary polynomial; 2) use the theory of ordinary polynomials to write the polynomial in a different form (e.g., we factorize it); 3) use the new form of the ordinary polynomial (e.g., its factorization) to rewrite the original matrix ...
A polynomial function is a function that can be expressed in the form of a polynomial. Learn more about what are polynomial functions, its types, formula and know graphs of polynomial functions with examples at BYJU'S.
Considering these equations in a matrix form and substituting the relations (17), (19), and (20) into the resulting system, a fundamental matrix equation is obtained to be solved. Let us assume that the function F in (21) is the linear form F = ∑ k = 1 ℓ c k ( t ) D ★...