TY - JOUR TI - New decompositions of the inverse of a Toeplitz matrix AU - G. Ammar AU - P. Gader JO - Signal processing, scattering and operator theory, and numerical methods, Amsterdam, (1989), Progr. Systems Control Theory, Birkhäuser Boston, Boston, MA PY - 1990 DA - 1990// VL - 5 ID - Ammar1990 ER - TY - JOUR TI - A variant of the Gohberg-Semencul formula involving circulant matrices AU - G. Ammar AU - P. Gader JO - SIAM J. Matrix Anal. Appl. PY - 1991 DA - 1991// VL - 12 ID - Ammar1991 ER - TY - JOUR TI - Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings AU - Y.-Q. Bai AU - T.-Z. Huang AU - X.-M. Gu JO - Appl. Math. Lett. PY - 2015 DA - 2015// VL - 48 ID - Bai2015 ER - TY - JOUR TI - On inversion of Toeplitz and close to Toeplitz matrices AU - A. Ben-Artzi AU - T. Shalom JO - Linear Algebra Appl. PY - 1986 DA - 1986// VL - 75 ID - Ben-Artzi1986 ER - TY - JOUR TI - Algebraic properties of Toeplitz operators AU - A. Brown AU - P. R. Halmos JO - J. Reine Angew. Math. PY - 1964 DA - 1964// VL - 213 ID - Brown1964 ER - TY - JOUR TI - Hyponormality of Toeplitz operators AU - C. C. Cowen JO - Proc. Amer. Math. Soc. PY - 1988 DA - 1988// VL - 103 ID - Cowen 1988 ER - TY - JOUR TI - Hyponormality and spectra of Toeplitz operators AU - D. R. Farenick AU - W. Y. Lee JO - Trans. Amer. Math. Soc. PY - 1996 DA - 1996// VL - 348 ID - Farenick1996 ER - TY - JOUR TI - Displacement operator based decompositions of matrices using circulants or other group matrices AU - P. D. Gader JO - Linear Algebra Appl. PY - 1990 DA - 1990// VL - 139 ID - Gader 1990 ER - TY - JOUR TI - Circulants, displacements and decompositions of matrices AU - I. Gohberg AU - V. Olshevsky JO - Integral Equations Operator Theory PY - 1992 DA - 1992// VL - 15 ID - Gohberg1992 ER - TY - JOUR TI - On the reconstruction of Toeplitz matrix inverses from columns AU - G. Heinig JO - Linear Algebra Appl. PY - 2002 DA - 2002// VL - 350 ID - Heinig 2002 ER - TY - JOUR TI - Block Toeplitz operators with rational symbols AU - I. S. Hwang AU - W. Y. Lee JO - J. Phys. A PY - 2008 DA - 2008// VL - 41 ID - Hwang2008 ER - TY - JOUR TI - The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices AU - Z.-L. Jiang AU - J.-X. Chen JO - J. Appl. Math. Comput. PY - 2017 DA - 2017// VL - 53 ID - Jiang2017 ER - TY - JOUR TI - The explicit inverses of CUPL-Toeplitz and CUPL-Hankel matrices AU - Z.-L. Jiang AU - X.-T. Chen AU - J.-M. Wang JO - East Asian J. Appl. Math. PY - 2017 DA - 2017// VL - 7 ID - Jiang2017 ER - TY - JOUR TI - Explicit determinants of the k-Fibonacci and k-Lucas RSFPLR circulant matrix in codes AU - X.-Y. Jiang AU - K.-C. Hong JO - Inf. Comput. Appl., Springer, Berlin, Heidelberg PY - 2013 DA - 2013// VL - ID - Jiang2013 ER - TY - JOUR TI - Algorithms for finding inverse of two patterned matrices over \(Z_p\) AU - X.-Y. Jiang AU - K.-C. Hong JO - Abstr. Appl. Anal. PY - 2014 DA - 2014// VL - 2014 ID - Jiang2014 ER - TY - JOUR TI - , Exact determinants of some special circulant matrices involving four kinds of famous numbers AU - X.-Y. Jiang AU - K.-C. Hong JO - Abstr. Appl. Anal. PY - 2014 DA - 2014// VL - 2014 ID - Jiang2014 ER - TY - JOUR TI - Explicit inverse matrices of Tribonacci skew circulant type matrices AU - X.-Y. Jiang AU - K.-C. Hong JO - Appl. Math. Comput. PY - 2015 DA - 2015// VL - 268 ID - Jiang2015 ER - TY - JOUR TI - Skew cyclic displacements and inversions of two innovative patterned matrices AU - X.-Y. Jiang AU - K.-C. Hong JO - Appl. Math. Comput. PY - 2017 DA - 2017// VL - 308 ID - Jiang2017 ER - TY - JOUR TI - Norm equalities and inequalities for three circulant operator matrices AU - Z. L. Jiang AU - Y. C. Qiao AU - S. D. Wang JO - Acta Math. Sin. (Engl. Ser.) PY - 2017 DA - 2017// VL - 33 ID - Jiang2017 ER - TY - JOUR TI - Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices AU - Z.-L. Jiang AU - T.-Y. Tam AU - Y.-F. Wang JO - Linear Multilinear Algebra PY - 2017 DA - 2017// VL - 65 ID - Jiang2017 ER - TY - JOUR TI - Explicit group inverse of an innovative patterned matrix AU - Z.-L. Jiang AU - D.-D. Wang JO - Appl. Math. Comput. PY - 2016 DA - 2016// VL - 274 ID - Jiang2016 ER - TY - JOUR TI - Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra AU - Z.-L. Jiang AU - T.-T. Xu JO - Sci. China Math. PY - 2016 DA - 2016// VL - 59 ID - Jiang2016 ER - TY - JOUR TI - Displacement ranks of matrices and linear equations AU - T. Kailath AU - S. Y. Kung AU - M. Morf JO - J. Math. Anal. Appl. PY - 1979 DA - 1979// VL - 68 ID - Kailath1979 ER - TY - JOUR TI - Optimal control of stochastic system with Markovian jumping and multiplicative noises AU - S.-L. Kong AU - Z.-S. Zhang JO - Acta Automat. Sinica PY - 2017 DA - 2017// VL - 38 ID - Kong2017 ER - TY - JOUR TI - Inversion of Toeplitz matrices with only two standard equations AU - G. Labahn AU - T. Shalom JO - Linear Algebra Appl. PY - 1992 DA - 1992// VL - 175 ID - Labahn1992 ER - TY - JOUR TI - Inversion of Toeplitz structured matrices using only standard equations AU - G. Labahn AU - T. Shalom JO - Linear Algebra Appl. PY - 1994 DA - 1994// VL - 207 ID - Labahn1994 ER - TY - JOUR TI - Generalized Bezoutian and the inversion problem for block matrices, I AU - L. Lerer AU - M. Tismenetsky JO - General scheme, Integral Equations Operator Theory PY - 1986 DA - 1986// VL - 9 ID - Lerer1986 ER - TY - JOUR TI - A note on inversion of Toeplitz matrices AU - X.-G. Lv AU - T.-Z. Huang JO - Appl. Math. Lett. PY - 2007 DA - 2007// VL - 20 ID - Lv2007 ER - TY - JOUR TI - Weighted Toeplitz regularized least squares computation for image restoration AU - M. K. Ng AU - J.-Y. Pan JO - SIAM J. Sci. Comput. PY - 2014 DA - 2014// VL - 36 ID - Ng2014 ER - TY - JOUR TI - On inversion of Toeplitz matrices AU - M. K. Ng AU - K. Rost AU - Y.-W. Wen JO - Linear Algebra Appl. PY - 2002 DA - 2002// VL - 348 ID - Ng2002 ER - TY - JOUR TI - Preconditioners for ill-conditioned Toeplitz matrices AU - D. Potts AU - G. Steidl JO - BIT PY - 1999 DA - 1999// VL - 39 ID - Potts1999 ER - TY - JOUR TI - On explicit determinants of the RFMLR and RLMFL circulant matrices involving certain famous numbers AU - N. Shen AU - Z.-L. Jiang AU - J. Li JO - WSEAS Trans. Math. PY - 2013 DA - 2013// VL - 12 ID - Shen2013 ER - TY - JOUR TI - Exact determinants and inverses of generalized Lucas skew circulant type matrices AU - Y.-P. Zheng AU - S.-G. Shon JO - Appl. Math. Comput. PY - 2015 DA - 2015// VL - 270 ID - Zheng2015 ER - TY - JOUR TI - Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices AU - Y.-P. Zheng AU - S.-G. Shon AU - J.-Y. Kim JO - J. Math. Anal. Appl. PY - 2017 DA - 2017// VL - 455 ID - Zheng2017 ER -