On the Closedness of the Linear Image of a Closed Convex Cone
Published Online:1 May 2007https://doi.org/10.1287/moor.1060.0242
References
- Complementarity and nondegeneracy in semidefinite programming. Math. Program. (1997) 77:111–128Crossref, Google Scholar
- Closedness criteria for the image of a closed set by a linear operator. Numer. Funct. Anal. Optim. (1996) 17:503–515Crossref, Google Scholar
- The lattice of faces of a finite dimensional cone. Linear Algebra Appl. (1973) 7:71–82Crossref, Google Scholar
- Faces and duality in convex cones. Linear Multilinear Algebra (1977) 6:161–169Crossref, Google Scholar
- Theory of cones. Linear Algebra Appl. (1981) 39:263–291Crossref, Google Scholar
- Cones of diagonally dominant matrices. Pacific J. Math. (1975) 57:15–32Crossref, Google Scholar
- Conical open mapping theorems and regularity. Proc. Centre for Math. Its Appl., 36 (1999) (Australian National University, Canberra, Australia) 1–10Google Scholar
- Cones, Matrices and Mathematical Programming (1973) (Springer, Berlin, Germany) Crossref, Google Scholar
- Complexity and Real Computation (1998) (Springer, New York) Crossref, Google Scholar
- Perturbation Analysis of Optimization Problems (2000) (Springer, New York) Crossref, Google Scholar
- Regularizing the abstract convex program. J. Math. Anal. Appl. (1981) 83:495–530Crossref, Google Scholar
- An Introduction to Convex Polytopes (1983) (Springer, Berlin, Germany) Crossref, Google Scholar
- , Tucker A. W. Infinite programs. Linear Equalities and Related Systems (1956) (Princeton University Press, Princeton, NJ) 157–170Google Scholar
- Duality in semi-infinite linear programming. Semi-Infinite Programming and Applications (Austin, TX, 1981). Lecture Notes in Econom. and Math. Systems (1983) 215(Springer, Berlin, Germany) 50–62Crossref, Google Scholar
- Convex Analysis and Minimization Algorithms (1993) (Springer, Berlin, Germany) Crossref, Google Scholar
- Geometric Functional Analysis and Its Applications (1975) (Springer, Berlin, Germany) Crossref, Google Scholar
- A partial characterization of nice cones. . SubmittedGoogle Scholar
- , Saigal R., Vandenberghe L., Wolkowicz H. The geometry of semidefinite programming. Handbook of Semidefinite Programming (2000) (Kluwer Academic Publishers, Waterloo, Ontario, Canada) Crossref, Google Scholar
- An exact duality theory for semidefinite programming and its complexity implications. Math. Program. (1997) 77:129–162Crossref, Google Scholar
- Strong duality for semidefinite programming. SIAM J. Optim. (1997) 7(3):641–662Crossref, Google Scholar
- A Mathematical View of Interior-Point Methods in Convex Optimization, MPS-SIAM Series on Optimization (2001) (SIAM, Philadelphia, PA) Crossref, Google Scholar
- Convex Analysis (1970) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
- Theory of Linear and Integer Programming (1986) (John Wiley & Sons, New York) Google Scholar
- On the duality operator of a convex cone. Linear Algebra Appl. (1985) 64:33–56Crossref, Google Scholar
- On point classification in convex sets. Math. Scand. (1976) 38:83–96Crossref, Google Scholar

