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15A09 Matrix inversion, generalized inverses (51 articles)

• Chen, Mingyue; Zhu, Huihui; Dong, Bing; Mosić, Dijana: New results on the $W$-core inverse of matrices. (English). Czechoslovak Mathematical Journal, vol. 76 (2026), issue 2, pp. 591-606
• Fang, Li; Zhao, Liang: New representations of $(b, c)$-inverses. (English). Czechoslovak Mathematical Journal, vol. 75 (2025), issue 4, pp. 1117-1131
• Wu, Liyun; Zhu, Huihui: Weighted $w$-core inverses in rings. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 2, pp. 581-602
• Chen, Huanyin; Sheibani, Marjan; Bahmani, Rahman: Certain additive decompositions in a noncommutative ring. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1217-1226
• Pablos Romo, Fernando: Explicit solutions of infinite linear systems associated with group inverse endomorphisms. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 3, pp. 751-763
• Shekhar, Vaibhav; Mishra, Nachiketa; Mishra, Debasisha: On the convergence theory of double $K$-weak splittings of type II. (English). Applications of Mathematics, vol. 67 (2022), issue 3, pp. 341-369
• Zhao, Ruju; Yao, Hua; Wei, Junchao: Characterizations of partial isometries and two special kinds of EP elements. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 539-551
• Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana: Solvability classes for core problems in matrix total least squares minimization. (English). Applications of Mathematics, vol. 64 (2019), issue 2, pp. 103-128
• Yang, Sheng-Liang; Xu, Yan-Xue; He, Tian-Xiao: $(m,r)$-central Riordan arrays and their applications. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 4, pp. 919-936
• Panda, Swarup Kumar: Unicyclic graphs with bicyclic inverses. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 4, pp. 1133-1143
• Fang, Jian-Ping: Generalizations of Milne's $U(n+1)$ $q$-Chu-Vandermonde summation. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 395-407
• Stuart, Jeffrey L.: Nested matrices and inverse $M$-matrices. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 537-544
• Radojević, Ivana M.: New results for EP matrices in indefinite inner product spaces. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 91-103
• Bu, Changjiang; Wang, Wenzhe; Zhou, Jiang; Sun, Lizhu: On block triangular matrices with signed Drazin inverse. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 4, pp. 883-892
• Chen, Yizhi; Zhao, Xianzhong: On linear operators strongly preserving invariants of Boolean matrices. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 169-186
• Kang, Kyung-Tae; Song, Seok-Zun: Linear maps that strongly preserve regular matrices over the Boolean algebra. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 113-125
• Kubáček, Lubomír: Confidence regions in a multivariate regression model with constraints II. (English). Mathematica Slovaca, vol. 57 (2007), issue 6, pp. [571]-588
• Rohn, Jiří: Nonsingularity, positive definiteness, and positive invertibility under fixed-point data rounding. (English). Applications of Mathematics, vol. 52 (2007), issue 2, pp. 105-115
• Hron, Karel: Inversion of $3\times 3$ partitioned matrices in investigation of the twoepoch linear model with the nuisance parameters. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 67-80
• Gołaszewska, Agata; Turo, Jan: Carathéodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 115-121
• Zhang, Xiao-Dong: A note on ultrametric matrices. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 929-940
• Tian, Yongge: How to characterize commutativity equalities for Drazin inverses of matrices. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 191-199
• Fiedler, Miroslav: Remarks on the Sherman-Morrison-Woodbury formulae. (English). Mathematica Bohemica, vol. 128 (2003), issue 3, pp. 253-262
• Stanimirović, Predrag S.: Self-correcting iterative methods for computing ${2}$-inverses. (English). Archivum Mathematicum, vol. 39 (2003), issue 1, pp. 27-36
• Tian, Yongge; Styan, George P. H.: A new rank formula for idempotent matrices with applications. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 379-384
• Koliha, J. J.: Block diagonalization. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 237-246
• Tian, Yongge: Some equalities for generalized inverses of matrix sums and block circulant matrices. (English). Archivum Mathematicum, vol. 37 (2001), issue 4, pp. 301-306
• Machalová, Jitka: Chipman pseudoinverse of matrix, its computation and application in spline theory. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 143-157
• Peška, Petr: The Moore-Penrose inverse of a partitioned morphism in an additive category. (English). Mathematica Slovaca, vol. 50 (2000), issue 4, pp. 437-452
• Kirkland, Steve: Constructions for type I trees with nonisomorphic Perron branches. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 617-632
• Stanimirović, Predrag: Determinantal representation of $\{I,J,K\}$ inverses and solution of linear systems. (English). Mathematica Slovaca, vol. 49 (1999), issue 3, pp. 273-286
• Koliha, J. J.; Straškraba, Ivan: Power bounded and exponentially bounded matrices. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 289-308
• Eschenbach, Carolyn A.; Hall, Frank J.; Harrell, Deborah L.; Li, Zhongshan: When does the inverse have the same sign pattern as the transpose?. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 255-275
• Kirkland, Stephen J.; Neumann, Michael; Shader, Bryan L.: Bounds on the subdominant eigenvalue involving group inverses with applications to graphs. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 1-20
• Kirkland, Stephen J.; Neumann, Michael; Shader, Bryan L.: On a bound on algebraic connectivity: the case of equality. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 65-76
• Kubáček, Lubomír: Notice on the Chipman generalization of the matrix inverse. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 36 (1997), issue 1, pp. 95-98
• Pták, Vlastimil: Generating functions and Bézoutians. (English). Mathematica Bohemica, vol. 121 (1996), issue 2, pp. 183-188
• Buša, Ján: Об одном методе регуляризации решения систем линейных алгебраических уравнений. (Russian) [On a regularization method for solving systems of linear algebraic equations]. Aplikace matematiky, vol. 35 (1990), issue 2, pp. 129-139
• Brackx, F.; Delanghe, R.; van Hamme, J.: Generalized inverses of elliptic systems of differential operators with constant coeffcients and related Reduce programs for explicit calculations. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1987. pp. [21]-28
• Puystjens, R.; van Geel, J.: On the diagonalisation of von Neumann regular matrices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 26 (1985), issue 2, pp. 51-56
• Datta, K. B.: Hankel-matrix approach to invertibility of linear multivariable systems. (English). Kybernetika, vol. 20 (1984), issue 2, pp. 107-126
• Gabriel, Richard: Verschlüsselungsabbildungen mit Pseudo-Inversen, Zufallsgeneratoren und Täfelungen. (German) [Cryptographic mappings with pseudo-inverses, random-number generators and tessellations]. Kybernetika, vol. 18 (1982), issue 6, pp. 485-504
• Volaufová, Júlia: On the confidence region of a vector parameter. (English). Mathematica Slovaca, vol. 30 (1980), issue 2, pp. 113-120
• Martínez, J. M.: A bound for the Moore-Penrose pseudoinverse of a matrix. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 2, pp. 357-360
• Kovanic, Pavel: On the pseudoinverse of a sum of symmetric matrices with applications to estimation. (English). Kybernetika, vol. 15 (1979), issue 5, pp. (341)-348
• Hung, Ching-Hsiang; Markham, Thomas L.: The Moore-Penrose inverse of a partitioned matrix $M=\begin{pmatrix} A & 0 \\ B & C \end{pmatrix}$. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 3, pp. 354-361
• Groetsch, Charles W.: A product integral representation of the generalized inverse. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 1, pp. 13-20
• Plemmons, R. J.: Direct iterative methods for linear systems using weak splittings. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 117-120
• Komara, Imrich: Stupeň inverznej krivky v projektívnom priestore Lagrangeových-Sylvestrových polynómov. (Slovak) [Degree of an Inverse Curve in the Projective Space of Lagrange-Sylvester Polynomials]. Matematický časopis, vol. 23 (1973), issue 4, pp. 301-305
• Szynal, Dominik; Szynal, Jan: À propos de l'inversion des matrices généralisées de Jacobi. (French) [On inversion of generalized Jacobi matrices]. Aplikace matematiky, vol. 17 (1972), issue 1, pp. 28-32
• Kamasová, Hana: An algorithm for the inversion of partitioned matrices. (English). Aplikace matematiky, vol. 15 (1970), issue 6, pp. 399-406