A number of new results on sufficient conditions for the solvability and numerical algorithms of the following general algebraic inverse eigenvalue problem are obtained: Given n+1 real n×n matrices A = (aij), Ak=...A number of new results on sufficient conditions for the solvability and numerical algorithms of the following general algebraic inverse eigenvalue problem are obtained: Given n+1 real n×n matrices A = (aij), Ak=(a^(k)ij)(k=1,2,...,n) and n distinct real numbers λ1, λ2, ..., λn, find n real numbers cl, c2,..., cn such that the matrix A(c)=A+∑^nk=1 ckAk has eigenvalues λ1, λ2,...,λn.展开更多
文摘A number of new results on sufficient conditions for the solvability and numerical algorithms of the following general algebraic inverse eigenvalue problem are obtained: Given n+1 real n×n matrices A = (aij), Ak=(a^(k)ij)(k=1,2,...,n) and n distinct real numbers λ1, λ2, ..., λn, find n real numbers cl, c2,..., cn such that the matrix A(c)=A+∑^nk=1 ckAk has eigenvalues λ1, λ2,...,λn.
