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Article

Griffin, Kent ; Stuart, Jeffrey L. ; Tsatsomeros, Michael J.
Noncirculant Toeplitz matrices all of whose powers are Toeplitz. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1185-1193
MSC: 11B37, 11B39, 15A15, 15A57 | MR 2471175 | Zbl 1174.15011
Keywords:
Toeplitz matrix; Toeplitz inverse; Toeplitz powers; principal minor; Fibonacci sequence
Summary:

References:
[1] Griffin, K.: Solving the principal minor assignment problem and related computations. PhD. Dissertation Washington State University Washington (2006). MR 2709319
[2] Griffin, K., Tsatsomeros, M. J.: Principal minors, Part I: A method for computing all the principal minors of a matrix. Linear Algebra Appl. 419 (2006), 107-124. MR 2263114
[3] Griffin, K., Tsatsomeros, M. J.: Principal minors, Part II: The principal minor assignment problem. Linear Algebra Appl. 419 (2006), 125-171. MR 2263115
[4] Huang, N. M., Cline, R. E.: Inversion of persymmetric matrices having Toeplitz inverses. J. Assoc. Comput. Mach. 19 (1972), 437-444. MR 0312704 | Zbl 0259.65032
[5] Shalom, T.: On algebras of Toeplitz matrices. Linear Algebra Appl. 96 (1987), 211-226. MR 0910995 | Zbl 0644.15005
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