A linear complementarity problem formulation for periodic solutions to unilateral contact problems
نویسندگان
چکیده
منابع مشابه
Improved infeasible-interior-point algorithm for linear complementarity problems
We present a modified version of the infeasible-interior- We present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545--561). Each main step of the algorithm consists of a feasibility step and several centering steps. We use a different feasibility step, which tar...
متن کاملSparse solutions of linear complementarity problems
This paper considers the characterization and computation of sparse solutions and leastp-norm (0 < p < 1) solutions of the linear complementarity problems LCP(q,M). We show that the number of non-zero entries of any least-p-norm solution of the LCP(q,M) is less than or equal to the rank of M for any arbitrary matrix M and any number p ∈ (0, 1), and there is p̄ ∈ (0, 1) such that all least-p-norm...
متن کاملIntegral Solutions of Linear Complementarity Problems
We characterize the class of integral square matrices M having the property that for every integral vector q the linear complementarity problem with data M; q has only integral basic solutions. These matrices, called principally unimodular matrices, are those for which every principal nonsingular submatrix is unimodular. As a consequence , we show that if M is rank-symmetric and principally uni...
متن کاملFast Solutions to Projective Monotone Linear Complementarity Problems
We present a new interior-point potential-reduction algorithm for solving monotone linear complementarity problems (LCPs) that have a particular special structure: their matrix M ∈ Rn×n can be decomposed as M = ΦU +Π0, where the rank of Φ is k < n, and Π0 denotes Euclidean projection onto the nullspace of Φ⊤. We call such LCPs projective. Our algorithm solves a monotone projective LCP to relati...
متن کاملSecond-order Cone Linear Complementarity Formulation of Quasi-static Incremental Frictional Contact Problem
A unified formulation and a numerical approach are presented for twoand three-dimensional incremental quasi-static problems with unilateral frictional contact. Under the assumptions of small rotations and small strains, a Second-Order Cone Linear Complementarity Problem (SOCLCP) is formulated, which consists of complementarity conditions defined by bilinear functions and second-order cone const...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Non-Linear Mechanics
سال: 2014
ISSN: 0020-7462
DOI: 10.1016/j.ijnonlinmec.2014.01.007