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        超廣義k次投影的線性組合群可逆和可逆性

        2018-05-14 08:55:40付石琴劉曉冀
        關(guān)鍵詞:可逆性廣義投影

        付石琴 劉曉冀

        參考文獻(xiàn):

        [1]BAKSALARY O M. Revisitation of generalized and hypergeneralized projectors[M]//Statistical Inference, Econometric Analysis and Matrix Algebra. Physica-Verlag HD, 2009:317-324.

        [2]BENITEZ J, THOME N. Characterizations and linear combinations of k-generalized projectors [J]. Linear Algebra & Its Applications, 2005, 410(2):150-159.

        [3]鄧春源, 李啟慧, 杜鴻科. Generalized n-idempotents and Hyper-generalized n-idempotents[J]. Communications in Mathematical Research, 2006, 22(4):387-394.

        [4] BAKSALARY J, BAKSALARY O M, LIU X. Further properties of generalized and hypergeneralized projectors[J]. Linear Algebra & Its Applications, 2004, 389(1):295-303.

        [5] BAKSALARY J K, BAKSALARY O M, LIU X, et al. Further results on generalized and hypergeneralized projectors[J]. Linear Algebra & Its Applications, 2008, 429(5-6):1038-1050.

        [6] ZENG Y D, LIN L F, MATHEMATICS D O. Nonsingularity of linear combinations of idempotent matrices[J]. Linear Algebra & Its Applications, 2013, 388(1):25-29.

        [7]LIU X, WU S, BENITEZ J. On nonsingularity of combinations of two group invertible matrices and two tripotent matrices[J]. Linear & Multilinear Algebra, 2011, 59(12):1409-1417.

        [8]TOSIC M. Characterizations and the Moore-Penrose inverse of hypergeneralized k-projectors[J]. Bulletin of the Korean Mathematical Society, 2014, 51(2):438-441.

        [9] M, D S, DENG C. The Moore-Penrose inverse of a linear combination of commuting generalized and hypergeneralized projectors[J]. Electronic Journal of Linear Algebra Ela, 2011, 22(1):1129-1137.

        [10] LIU X, ZHANG M, JULIO B. Expressions of the group inverse of the linear combinations of k-ldempotent matrices and the Moore-Penrose generalized lnverse of the linear combinations of the hypergeneralized ldempotent matrices[J]. Chinese Annals of Mathematics, 2014,35(4):463-478.

        [11] ZUO K. Nonsingularity of the difference and the sum of two idempotent matrices[J]. Linear Algebra & Its Applications, 2010, 433(2):476-482.

        [12]LI H Y,ZUO K Z. The study of idempotence, reversibility, the group inverse, D-inverse, M-P inverse of combination for two special operator[J]. Applied Mathematics, 2014:19-25.

        [13]MEYER C. Matrix analysis and applied linear algebra[M]. Society for Industrial and Applied Mathematics, 2000.

        [14] J. Moore-Penrose inverses and commuting elements of C*-algebras[J]. Journal of Mathematical Analysis & Applications, 2008, 345(2):766-770.

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