Matrix analysis
Polynomial roots from companion matrix eigenvalues
Mathematics of Computation
Error Analysis of Direct Methods of Matrix Inversion
Journal of the ACM (JACM)
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51)
Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51)
Perturbation bounds for polynomials
Numerische Mathematik
The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods
The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods
Journal of Computational and Applied Mathematics
| Hi-index | 0.09 |
Non-structured perturbation of invariant subspaces of unreduced, i.e. nonderogatory Hessenberg matrices is considered. Some perturbation results for the generalized eigenvectors and the characteristic polynomial of unreduced upper Hessenberg matrices are given. Two theorems are on the perturbation of invariant subspaces which are somewhat similar to the sin@Q theorems of Davis and Kahan apart from the residual, which we do not have here. Dense perturbations of unreduced Hessenberg matrices are also considered. Finally, we prove an invariant subspace perturbation theorem for nonderogatory matrices.