Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
Published Online:1 Nov 2005https://doi.org/10.1287/moor.1050.0157
References
- Smooth approximations to nonlinear complementarity problems. SIAM J. Optim. (1997) 7:403–420Crossref, Google Scholar
- Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems. Comput. Optim. Appl. (2003) 25:39–56Crossref, Google Scholar
- Non-interior continuation methods for solving semidefinite complementarity problems. Math. Prog. Series A. (2003) 95:431–474Crossref, Google Scholar
- The Linear Complementarity Problem (1992) (Academic Press, Boston, MA) Google Scholar
- Finite Dimensional Variational Inequalities and Complementarity Problems (2003) (Springer-Verlag, New York) Google Scholar
- Analysis on Symmetric Cones (1994) (Oxford University Press, Oxford, UK) Google Scholar
- On matrices with non-positive off-diagonal elements and positive principle minors. Czechoslovak Math. J. (1962) 12:382–400Crossref, Google Scholar
- Smoothing functions for second-order-cone complementarity problems. SIAM J. Optim. (2001) 12:436–460Crossref, Google Scholar
- An inequality for hyperbolic polynomials. J. Math. Mech. (1959) 8:957–965Google Scholar
- Complementarity forms of theorems of Lyapunov and Stein, and related results. Linear Algebra Appl. (2000) 320:131–144Crossref, Google Scholar
- On semidefinite linear complementarity problems. Math. Programming Ser. A (2000) 88:575–587Crossref, Google Scholar
- Errata: On semidefinite linear complementarity problems. Math. Programming Ser. A (2001) 91:199–200Crossref, Google Scholar
- Semidefinite Relaxations of Linear Complementarity Problems (2002) . Technical Report TRGOW02-01, Department of Mathematics & Statistics, UMBC. Baltimore, MDGoogle Scholar
- Some P-properties for linear transformations on Euclidean Jordan algebras. Linear Algebra Appl. (2004) 393:203–232Crossref, Google Scholar
- Existence and limiting behavior of trajectories associated with P0 equations. Comput. Optim. Appl. (1999) 12:229–251Crossref, Google Scholar
- An existence theorem for the complementarity problem. J. Optim. Theory Appl. (1976) 19:227–232Crossref, Google Scholar
- Degree Theory (1978) (Cambridge University Press, Cambridge, UK) Google Scholar
- On the existence and uniqueness of solutions in nonlinear complementarity theory. Math. Programming (1977) 12:110–130Crossref, Google Scholar
- Extension of primal-dual interior point algorithms to symmetric cones. Math. Programming Ser. A (2003) 96:409–438Crossref, Google Scholar

