Journal of Optimization Theory and Applications

, Volume 106, Issue 3, pp 683-688

First online:

Fundamental Theorems of Morse Theory for Optimization on Manifolds with Corners

  • M. ShidaAffiliated withDepartment of Mathematics and Physics, National Defense Academy, Hashirimizu

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This note extends the fundamental theorems of Morse theory for stable stationary solutions to optimization problems on manifolds with corners.

stable stationary solutions fundamental theorems of Morse theory Morse inequalities manifold with corners