1 |
P. S. Stanimirovic and M. B. Tasic, Partitioning method for rational and polynomial matrices, Appl. Math. Comput. 155 (2004), no. 1, 137-163.
DOI
ScienceOn
|
2 |
J. E. Walton and A. F. Horadam, Some further identities for the generalized Fibonacci sequence , Fibonacci Quart. 12 (1974), 272-280.
|
3 |
G.Wang, Y.Wei, and S. Qiao, Generalized Inverses: Theory and Computations, Science Press, Beijing, 2004.
|
4 |
Y. Wei, H. Diao, and M. K. Ng, On Drazin inverse of singular Toeplitz matrix, Appl. Math. Comput. 172 (2006), no. 2, 809-817.
DOI
ScienceOn
|
5 |
S. Wolfram, The Mathematica Book, 4th ed., Wolfram Media/Cambridge University Press, 1999.
|
6 |
Z. Xu, On Moore-Penrose inverses of Toeplitz matrices, Linear Algebra Appl. 169 (1992), 9-15.
DOI
ScienceOn
|
7 |
Z. Zhang, The linear algebra of the generalized Pascal matrix, Linear Algebra Appl. 250 (1997), 51-60.
DOI
ScienceOn
|
8 |
Z. Zhang and J. Wang, Bernoulli matrix and its algebraic properties, Discrete Appl. Math. 154 (2006), no. 11, 1622-1632.
DOI
ScienceOn
|
9 |
Z. Zhang and Y. Zhang, The Lucas matrix and some combinatorial identities, Indian J. Pure Appl. Math. 38 (2007), no. 5, 457-465.
|
10 |
G. Zielke, Report on test matrices for generalized inverses, Computing 36 (1986), no. 1-2, 105-162.
DOI
|
11 |
R. E. Hartwig and J. Shoaf, Group inverses and Drazin inverses of bidiagonal and triangular Toeplitz matrices, J. Austral. Math. Soc. Ser. A 24 (1977), no. 1, 10-34.
DOI
|
12 |
G. Heinig, Generalized inverses of Hankel and Toeplitz mosaic matrices, Linear Algebra Appl. 216 (1995), 43-59.
DOI
ScienceOn
|
13 |
G. Heinig and F. Hellinger, On the Bezoutian structure of the Moore-Penrose inverses of Hankel matrices, SIAM J. Matrix Anal. Appl. 14 (1993), no. 3, 629-645.
DOI
ScienceOn
|
14 |
G. Heinig and F. Hellinger, Moore-Penrose inversion of square Toeplitz matrices, SIAM J. Matrix Anal. Appl. 15 (1994), no. 2, 418-450.
DOI
ScienceOn
|
15 |
A. F. Horadam, A generalized Fibonacci sequence, Amer. Math. Monthly 68 (1961), 455-459.
DOI
ScienceOn
|
16 |
T. Kailath and A. Sayed, Displacement structure: theory and applications, SIAM Rev. 37 (1995), no. 3, 297-386.
DOI
ScienceOn
|
17 |
D. Kalman and R. Mena, The Fibonacci numbers-exposed, Math. Mag. 76 (2003), no. 3, 167-181.
DOI
|
18 |
T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.
|
19 |
G.-Y. Lee, J.-S. Kim, and S.-G. Lee, Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices, Fibonacci Quart. 40 (2002), no. 3, 203-211.
|
20 |
G.-Y. Lee, J.-S. Kim, and S.-H. Cho, Some combinatorial identities via Fibonacci numbers, Discrete Appl. Math. 130 (2003), no. 3, 527-534.
DOI
ScienceOn
|
21 |
P. Stanica, Cholesky factorizations of matrices associated with r-order recurrent sequences, Integers 5 (2005), no. 2, A16, 11 pp.
|
22 |
P. Stanimirovic, J. Nikolov, and I. Stanimirovic, A generalization of Fibonacci and Lucas matrices, Discrete Appl. Math. 156 (2008), no. 14, 2606-2619.
DOI
ScienceOn
|
23 |
V. M. Adukov, Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols, Linear Algebra Appl. 290 (1999), no. 1-3, 119-134.
DOI
ScienceOn
|
24 |
R. Aggarwala and M. P. Lamoureux, Inverting the Pascal matrix plus one, Amer. Math. Monthly 109 (2002), no. 4, 371-377.
DOI
ScienceOn
|
25 |
A. Ashrafi and P. M. Gibson, An involutory Pascal matrix, Linear Algebra Appl. 387 (2004), 277-286.
DOI
ScienceOn
|
26 |
A. Ben-Israel and T. N. E. Greville, Generalized Inverses, Second Ed., Springer-Verlag, New York, 2003.
|
27 |
G. S. Call and D. J. Velleman, Pascal's matrices, Amer. Math. Monthly 100 (1993), no. 4, 372-376.
DOI
ScienceOn
|
28 |
R. Chan and M. Ng, Conjugate gradient methods for Toeplitz systems, SIAM Rev. 38 (1996), no. 3, 427-482.
DOI
ScienceOn
|
29 |
P. Courrieu, Fast Computation of Moore-Penrose Inverse Matrices, Neural Information Processing-Letters and Reviews 8 (2005), no. 2, 25-29.
|
30 |
G.-S. Cheon and J.-S. Kim, Stirling matrix via Pascal matrix, Linear Algebra Appl. 329 (2001), no. 1-3, 49-59.
DOI
ScienceOn
|
31 |
M. C. Gouveia, Generalized invertibility of Hankel and Toeplitz matrices, Linear Algebra Appl. 193 (1993), 95-106.
DOI
ScienceOn
|
32 |
U. Grenander and M. Rosenblatt, Statistical Analysis of Stationary Time Series, John Wiley & Sons, New York; Almqvist & Wiksell, Stockholm, 1957.
|
33 |
T. N. E. Grevile, Some applications of the pseudoinverse of a matrix, SIAM Rev. 2 (1960), 15-22.
DOI
ScienceOn
|