回应 milandroid
Optimization by Vector Space Methods [图书] 豆瓣
作者: David G. Luenberger Wiley-Interscience 1997 - 1
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

"From the differential (7) it is immediately clear that we must assume that the r x n matrix G_x(x(t1)) has rank r. In addition we invoke a controllability assumption on (6)...
With the above two assumptions we can show that the constraints are regular."

OMG controllability as the regularity condition in a kind of Lagrange multiplier theorem


Optimization by Vector Space Methods 第256頁