[1] J. Bae. Circulant Matrix Factorization Based on Schur Algorithm for Designing Optical Multimirror Filters. Japan. J. Math.
45:5163–5168, 2006.
Google Scholar
[2] R. A. Brualdi and H. Schneider. Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace,
Muir and Cayley. Linear Algebra Appl. 52:769–791, 1983.
Web of ScienceGoogle Scholar
[3] B. Fischer and J. Modersitzki. Fast inversion of matrices arising in image processing. Numer. Algorithms 22:1–11, 1999.
CrossrefGoogle Scholar
[4] S. Georgiou and C. Kravvaritis. New Good Quasi-Cyclic Codes over GF(3). Int. J. Algebra 1:11–24, 2007.
Google Scholar
[5] R. M. Gray. Toeplitz and Circulant Matrices: A review. Found. Trends Comm. Inform. Theory 2:155–239, 2006.
Google Scholar
[6] F. A. Graybill. Matrices with applications in statistics. Prentice Hall, Wadsworth-Belmont, 1983.
Google Scholar
[7] K. Grifln and M. J. Tsatsomeros. Principal minors, Part I: A method for computing all the principal minors of amatrix. Linear
Algebra Appl. 419:107–124, 2006.
Google Scholar
[8] K. J. Horadam. Hadamard matrices and their applications. Princeton University Press, Princeton and Oxford, 2007.
Google Scholar
[9] R. A. Horn and C. R. Johnson. Matrix Analysis. Cambridge University Press, Cambridge, 1985.
Google Scholar
[10] T. K. Huckle. Compact Fourier Analysis for Designing Multigrid Methods. SIAM J. Comput. 31:644–666, 2008.
Web of ScienceGoogle Scholar
[11] T. K. Huckle and C. Kravvaritis, Compact Fourier Analysis for Multigrid Methods based on Block Symbols, SIAM J. Matrix
Anal. Appl., 33:73–96, 2012.
Web of ScienceGoogle Scholar
[12] C. Koukouvinos, M. Mitrouli and J. Seberry.Growth in Gaussian elimination for weighingmatrices,W(n, n−1). Linear Algebra
Appl. 306:189–202, 2000.
Google Scholar
[13] C. Koukouvinos, M. Mitrouli and J. Seberry. An algorithm to find formulae and values of minors for Hadamard matrices.
Linear Algebra Appl., 330:129–147, 2001.
Google Scholar
[14] S. Kounias, C. Koukouvinos, N. Nikolaou and A. Kakos. The nonequivalent circulant D-optimal designs for n ≡ 2mod 4, n =
54, n = 66. J. Combin. Theory Ser. A 65:26–38, 1994.
Google Scholar
[15] C. Krattenthaler. Advanced determinant calculus. Sém. Lothar. Combin. 42:69–157, 1999.
Google Scholar
[16] C. Krattenthaler. Advanced determinant calculus: A complement. Linear Algebra Appl., 411:68–166, 2005.
Google Scholar
[17] G. Maze and H. Parlier. Determinants of Binary Circulant matrices. IEEE Trans. Inform. Theory p. 124, 2004.
Google Scholar
[18] A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy and S. Nima Salehy. More calculations on determinant evaluations.
Electron. J. Linear Algebra 16:19–29, 2007.
Google Scholar
[19] N. Nguyen, P. Milanfar and G. Golub. A Computationally Eflcient Superresolution Image Reconstruction Algorithm. IEEE
Trans. Image Process. 10:573–583, 2001.
PubMedCrossrefGoogle Scholar
[20] J. Seberry, T. Xia, C. Koukouvinos and M. Mitrouli. The maximal determinant and subdeterminants of ±1 matrices. Linear
Algebra Appl. 373:297–310, 2003.
Web of ScienceGoogle Scholar
[21] F. R. Sharpe. The maximum value of a determinant. Bull. Amer. Math. Soc. 14:121–123, 1907.
CrossrefGoogle Scholar
Comments (0)