A Jordan-algebraic approach to potential-reduction algorithms

Mathematische Zeitschrift

Volumn 239, Issue 1, 2002, Pages 117-129

  Faybusovich, Leonid ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036462113     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100286     Document Type: Article

References (12)

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2. [F1] L. Faybusovich: Jordan algebras, symmetric cones and interior-point methods. Research Report, University of Notre Dame 1995
3. [F2] L. Faybusovich: Euclidean Jordan algebras and interior-point algorithms. Positivity 1, 331-357 (1997)
4. [F3] L. Faybusovich: Linear systems in Jordan algebras and primal-dual interior-point algorithms. J. Comput. Appl. Math. 86, 149-175 (1997)
5. [K] M. Koecher: Jordan algebras and their applications. Lecture Notes, University of Minnesota 1962
6. [K-M] M. Kojima, S. Mizuno, A. Yoshise: An O(√nL) iteration potential reduction algorithm for linear complementarity problems. Mathematical programming 50, 331-342 (1991)
7. [L] O. Loos: Symmetric spaces. Benjamin 1969
8. [N-T] Yu. Nesterov, M.J. Todd: Self-scaled barriers and interior-point methods for the convex programming. Math. Oper. Res. 22(1), 1-42 (1997)
9. [T] M.J. Todd: Potential reduction methods in mathematical programming. Mathematical programming 76(1-2), series B, pp. 3-45 (1997)
10. [U-U] A. Unterberger, H. Upmeier: Pseudodifferential analysis on symmetric cones. CRC Press 1996
11. [U] H. Upmeier: Toeplitz operators and index theory in several variables. Birkhäuser 1996
12. [W] S. Wright: Primal-dual interior-point methods. SIAM 1997