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Volumn 93, Issue 1, 2002, Pages 55-75

Two properties of condition numbers for convex programs via implicitly defined barrier functions

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; LINEAR EQUATIONS; OPTIMIZATION;

EID: 30944470060     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070200294     Document Type: Article
Times cited : (7)

References (19)
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    • (1998) SIAM Journal on Optimization , vol.8 , pp. 746-768
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  • 3
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    • Some characterization and properties of the 'distance to ill-posedness' and the condition measure of a conic linear system
    • Freund, R., Vera, J. (1999): Some Characterization and Properties of the 'Distance to Ill-posedness' and the Condition Measure of a Conic Linear System. Mathematical Programming 86, 225-260
    • (1999) Mathematical Programming , vol.86 , pp. 225-260
    • Freund, R.1    Vera, J.2
  • 4
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    • Condition-based complexity of convex optimization in conic linear form via the ellipsoid algorithm
    • Freund, R., Vera, J. (1999): Condition-based Complexity of Convex Optimization in Conic Linear Form via the Ellipsoid Algorithm. SIAM Journal on Optimization 10, 155-176
    • (1999) SIAM Journal on Optimization , vol.10 , pp. 155-176
    • Freund, R.1    Vera, J.2
  • 6
    • 0033338724 scopus 로고    scopus 로고
    • Ill-conditioned convex processes and linear inequalities
    • Lewis, A. (1999): Ill-conditioned convex processes and linear inequalities. Mathematics of Operations Research 24, 829-834
    • (1999) Mathematics of Operations Research , vol.24 , pp. 829-834
    • Lewis, A.1
  • 8
    • 0031073753 scopus 로고    scopus 로고
    • Self-scaled barriers and interior-point methods for convex programming
    • Nesterov, Y., Todd, M.J. (1997): Self-scaled barriers and interior-point methods for convex programming. Mathematics of Operations Research 22, 1-42
    • (1997) Mathematics of Operations Research , vol.22 , pp. 1-42
    • Nesterov, Y.1    Todd, M.J.2
  • 9
    • 0032222088 scopus 로고    scopus 로고
    • Primal-dual interior-point methods for self-scaled cones
    • Nesterov, Y., Todd, M.J. (1998): Primal-dual interior-point methods for self-scaled cones. SIAM Journal on Optimization 8, 324-364
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 324-364
    • Nesterov, Y.1    Todd, M.J.2
  • 10
    • 0002822882 scopus 로고    scopus 로고
    • Condition measures and properties of the central trajectory of a linear program
    • Nunez, M., Freund, R. (1998): Condition Measures and Properties of the Central Trajectory of a Linear Program. Mathematical Programming 83, 1-28
    • (1998) Mathematical Programming , vol.83 , pp. 1-28
    • Nunez, M.1    Freund, R.2
  • 11
    • 33750976241 scopus 로고    scopus 로고
    • Private Communication
    • Overton, M., Private Communication
    • Overton, M.1
  • 12
    • 0039604711 scopus 로고    scopus 로고
    • Understanding the geometry on infeasible perturbations of a conic linear system
    • Peña, J. (2000): Understanding the Geometry on Infeasible Perturbations of a Conic Linear System. SIAM Journal on Optimization 10, 534-550
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    • Peña, J.1
  • 13
    • 0035351616 scopus 로고    scopus 로고
    • Conditioning of convex programs from a primal-dual perspective
    • Peña, J. (2001): Conditioning of Convex Programs from a Primal-Dual Perspective. Mathematics of Operations Research 26, 206-220
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    • Peña, J.1
  • 14
    • 0000171725 scopus 로고    scopus 로고
    • Computing approximate solutions for conic systems of constraints
    • Pena, J., Renegar, J. (2000): Computing Approximate Solutions for Conic Systems of Constraints. Mathematical Programming 87, 351-383
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    • Linear programming, complexity theory and elementary functional analysis
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.