On eigenvalues and eigenvectors of subdirect sums
نویسنده
چکیده
Some new properties of the eigenvalues of the subdirect sums are presented for the particular case of 1-subdirect sums. In particular, it is shown that if an eigenvalue λ is associated with certain blocks of matrix A or matrix B then λ is also an eigenvalue associated with the 1-subdirect sum A ⊕1 B. Some results concerning eigenvectors of the k-subdirect sum A⊕k B for an arbitrary positive integer k are also given. Key–Words: Matrices, subdirect sum, eigenvalues, eigenvectors, overlapping blocks, domain decomposition.
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تاریخ انتشار 2006