关于奇异束的Leverrier-Hermite算法

Leverrier-Hermite Algorithm for Singular Pencils

给出了一个同时计算奇异束 μE-A的伴随阵 B( μ)和行列式 σ( μ)的 L everrier-Hermite算法 ,其中 E是奇异阵 ,但 det( μE-A) 0 .这问题来自奇异线性控制系统 [6 ,7] .B(μ)和 a(μ)可表成 Hermite正交多项式的基底 ,解决了 BARNETT S的一个公开问题 [2 ] .

Leverrier Hermite algorithm is presented for simultaneous computations of the adjoint B(μ) and the determinant a(μ)of the singular pencil μE-A, where E is singular, but det(μE-A)0. The problem arises in singular linear control problems . B(μ) and a(μ) can be expressed as a basis of Hermite orthogonal polynomial and the open problem by BARNETT S .