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On Weakly Analytic and Faithfully Convex Functions in Convex Programming



G P. McCormick, Christoph J. Witzgall


Weakly-analytic convex, faithfully convex, and self-concordant functions are considered, and their relationships described. The purpose of the report is to state and provide complete proofs of results that illustrate circumstances under which weak analyticity occurs for convex functions.
NIST Interagency/Internal Report (NISTIR) - 6426
Report Number


convex functions, convex programming, faithfully convex, interior point methods, self-concordant, SUMT, weakly analytic


McCormick, G. and Witzgall, C. (2000), On Weakly Analytic and Faithfully Convex Functions in Convex Programming, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD (Accessed February 28, 2024)
Created May 31, 2000, Updated October 12, 2021