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- W3616338 abstract "Publisher Summary The chapter discusses a useful result for constructing complementary orthogonal spaces to implicitly defined vector spaces. The result has wide applications in network and systems theory. Its form permits generalization to other situations, such as inequality and integrality systems. The chapter discusses the vector space version of the theorem and its applications. The implicit duality theorem is a generalization of the fact that contraction and restriction of vector spaces are dual operations. The result of this is stated in terms of the notion of a generalized minor. Other versions of the theorem are introduced in appropriate notation. Polarity and integrality versions of the result are discussed and the properties of dot product and orthogonality are explained." @default.
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- W3616338 date "1997-01-01" @default.
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- W3616338 title "Chapter 7 The Implicit Duality Theorem and Its Applications" @default.
- W3616338 doi "https://doi.org/10.1016/s0167-5060(08)70676-9" @default.
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