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Eigenvalues with Geometric Multiplicity OneIn this chapter we study conditions under which the eigenspaces of quasiseparable of order one matrices are one-dimensional. We also derive explicit formulas for the corresponding eigenvectors.
陈腐的人
发表于 2025-3-22 15:27:52
Kernels of Quasiseparable of Order One MatricesNext in this part we study the eigenspaces of quasiseparable of order one matrices. Notice that for a matrix A the matrix A – λ.. has the same lower and upper quasiseparable generators. This is the reason we study the properties of kernels of the considered matrices.
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Complete Algorithm for Hermitian MatricesIn this chapter we study in detail the divide and conquer method for Hermitian matrices with quasiseparable representations. For Hermitian quasiseparable of order one matrices we obtain a complete algorithm to compute the eigenvalue decomposition of a matrix.