A general accelerated modulus-based matrix splitting iteration method for solving linear complementarity problems
Tóm tắt
Từ khóa
Tài liệu tham khảo
Ahn, B.H.: Iterative methods for linear complementarity problems with upper-bounds on primary variables. Math. Program. 26, 295–315 (1983)
Berman, A., Plemmons, R.J.: Nonnegative Matrix in the Mathematical Sciences. SIAM Publisher, Philadelphia (1994)
Bai, Z.-Z.: Modulus-based matrix splitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 17, 917–933 (2010)
Bai, Z.-Z.: On the convergence of the multisplitting methods for the linear complementarity problem. SIAM J. Matrix Anal. Appl. 21, 67–78 (1999)
Bai, Z.-Z., Zhang, L.-L.: Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Numer. Linear Algebra Appl. 20, 425–439 (2013)
Bai, Z.-Z., Zhang, L.-L.: Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Numer. Algorithms 62, 59–77 (2013)
Cottle, R.W., Pang, J.-S., Stone, R.E.: The Linear Complementarity Problem. Academic, San Diego (1992)
Dong, J.-L., Jiang, M.-Q.: A modified modulus method for symmetric positive-definite linear complementarity problems. Numer. Linear Algebra Appl. 16, 129–143 (2009)
Frommer, A., Mayer, G.: Convergence of relaxed parallel multisplitting methods. Linear Algebra Appl. 119, 141–152 (1989)
Hadjidimos, A., Lapidakis, M., Tzoumas, M.: On iterative solution for linear complementarity problem with an H-matrix. SIAM J. Matrix Anal. Appl. 33, 97–110 (2011)
Hadjidimos, A., Tzoumas, M.: Nonstationary extrapolated modulus algorithms for the solution of the linear complementarity problem. Linear Algebra Appl. 431, 197–210 (2009)
Hu, J.-G.: Estimates of $$\Vert {B^{-1}C} {B^{-1}C}\Vert _\infty $$ ‖ B - 1 C B - 1 C ‖ ∞ and their applications. Math. Numer. Sinica 4, 272–282 (1982)
Li, W.: A general modulus-based matrix splitting method for linear complementarity problems of H- matrices. Appl. Math. Lett. 26, 1159–1164 (2013)
Murty, K.G.: Linear Complementarity, Linear and Nonlinear Programming. Heldermann Verlag, Berlin (1988)
van Bokhoven, W.M.G.: Piecewise-Linear Modelling and Analysis. Proefschrift, Eindhoven (1981)
Zhang, L.-L.: Two-step modulus based matrix splitting iteration for linear complementarity problems. Numer. Algorithms 57, 83–99 (2011)