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65F05  Direct methods for linear systems and matrix inversion (25 articles)

• Chen, Yunkun; Shi, Xinghua; Wei, Yimin: Convergence of Rump's method for computing the Moore-Penrose inverse. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 859-879
• Vašatová, Alena; Tomčala, Jiří; Sojka, Radim; Pecha, Marek; Kružík, Jakub; Horák, David; Hapla, Václav; Čermák, Martin: Parallel strategies for solving the FETI coarse problem in the PERMON toolbox. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 154-163
• Vejchodský, Tomáš: A direct solver for finite element matrices requiring $O(N \log N)$ memory places. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 225-239
• Práger, Milan: On a construction of fast direct solvers. (English). Applications of Mathematics, vol. 48 (2003), issue 3, pp. 225-236
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 229-241
• Brandts, Jan; Stevenson, Rob: A stable and optimal complexity solution method for mixed finite element discretizations. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 153-161
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 101-111
• Brandts, Jan; Stevenson, Rob: A stable and optimal complexity solution method for mixed finite element discretizations. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 27-35
• 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
• Mayer, Günter: Epsilon-inflation with contractive interval functions. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 241-254
• Kálnová, Gabriela: Pivoting algorithm in class of ABS methods. (English). Archivum Mathematicum, vol. 32 (1996), issue 3, pp. 167-180
• Mayer, Günter; Pieper, Lars: A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices. (English). Applications of Mathematics, vol. 38 (1993), issue 3, pp. 205-220
• Spedicato, Emilio; Vespucci, Maria Teresa: Variations on the Gram-Schmidt and the Huang algorithms for linear systems: A numerical study. (English). Applications of Mathematics, vol. 38 (1993), issue 2, pp. 81-100
• 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
• Červ, Václav; Segeth, Karel: A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 375-390
• Šik, František: Solution of a system of linear equations with given error sets for coefficients. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 319-325
• Malina, Ľubor: General theory of direct methods for solving systems of equations with band matrices. (English). Aplikace matematiky, vol. 24 (1979), issue 3, pp. 161-183
• Malina, Ľubor: On generalized methods of the transfer of conditions. (English). Aplikace matematiky, vol. 24 (1979), issue 3, pp. 184-198
• Vinař, Jan: A remark on Jordan elimination. (English). Aplikace matematiky, vol. 21 (1976), issue 6, pp. 420-423
• Arora, J. L.: System of linear equations. (English). Aplikace matematiky, vol. 21 (1976), issue 6, pp. 424-430
• Sloboda, F.: Note about the parallel projection method for solution of system of linear algebraic equations. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 157-158
• Ostrowski, A. M.: Über Fehlerabschaetzungen a priori und a posteriori. (German). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 111-115
• Segethová, Jitka: Elimination on sparse symmetric systems of a special structure. (English). Aplikace matematiky, vol. 17 (1972), issue 6, pp. 448-460
• Kamasová, Hana: An algorithm for the inversion of partitioned matrices. (English). Aplikace matematiky, vol. 15 (1970), issue 6, pp. 399-406
• Schmidtmayer, Josef: Řešení soustav lineárních algebraických rovnic s komplexními koeficienty. (Czech) [Solution of systems of linear algebraic equations with complex coefficients]. Pokroky matematiky, fyziky a astronomie, vol. 1 (1956), issue 5, pp. 571-578