Differences of Polyhedra in Matrix Space and Their Applications to Nonsmooth Analysis

Y. Gao
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Y. Gao: University of Shanghai for Science and Technology

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 3, No 3, 442 pages

Abstract: Abstract Formulas of the differences of polyhedra in matrix space are proposed. Based on these formulas, the differences of polyhedra can be calculated by solving systems of linear inequalities. A modified algorithm for calculating one element of the differences is presented also. The motivation for this work is to compute the Clarke generalized Jacobian, the B-differential, and one of their elements via the quasidifferential. Applications to Newton methods for solving nonsmooth equations are discussed.

Keywords: Nonsmooth analysis; quasidifferential calculus; difference of convex compact sets; Clarke generalized Jacobian; nonsmooth equations (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9120-x

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