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www.ima.umn.edu/preprints/April92/946.pdf
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The matrix JP is weakly cyclic of index p if there exists a permutation matrix P such that PJPPT has the form (7), where the null diagonal blocks are square.
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linkinghub.elsevier.com/retrieve/pii/0012365X81900054
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Given an ilateger p > 1, the matrix A is called weakly cyclic o)-' index p, whenever an n-permutation matrix Q exists, such that QAQT can be partitioned in th . form ...
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linkinghub.elsevier.com/retrieve/pii/0024379587900589
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JA is said to be weakly cyclic of index p if there exists a permutation matrix P such that PJAPT ... A weakly three-cyclic matrix appears in connection with a linear ...
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www.math.kent.edu/~varga/pub/paper_172.pdf
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eigenvalues tt of a particular weakly cyclic of index p Jacobi matrix B (Where p:>: 2). Of course, the functional equation (1.1) strongly resembles in character ...
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www.math.kent.edu/~varga/pub/paper_144.pdf
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to the case of any weakly cyclic matrix B of index p > 2, as considered in. (2.3). Leaving the details of the extension to the reader, we simply state our ...
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docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2156&co...
docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2156&context=cstech
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of p-Cyclic Matrices. A. Hadjidimos: D. Noutsost and M. ~zoumast. Abstract. Linear systems whose associated block Jacobi iteration matrix B is weakly cyclic ...
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home.wlu.edu/~feldmann/pdffiles/nWSCMatrices.pdf
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following results: (i) There are no n-weakly hypercyclic matrices on Rn or. C n. ... There are no 3-weakly supercyclic matrices on Rn for n ≥ 3; and (iv) there are ...
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dl.acm.org/citation.cfm?id=240392
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Let the Jacobi matrix $B$ associated with the linear system $Ax = b$ be a weakly cyclic matrix, generated by the cyclic permutation $\sigma = (\sigma _{1}, ...
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www.mathe.tu-freiberg.de/~ernst/PubArchive/cyclicRev.ps...
www.mathe.tu-freiberg.de/~ernst/PubArchive/cyclicRev.ps.gz
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p-cyclic problems in Section 6. 2. Iterative Methods and p-cyclic Matrices. The fundamental concept in this paper is that of a matrix which is weakly cyclic ...
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www.jstor.org/stable/2946492
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In this paper it is shown, if A is weakly cyclic of index k, that the matrices A1, A2, ... , Ak have the same nonzero characteristic roots with identical multiplicities.
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