Pseudoinverse and Projection Matrices in Problems of Synthesis of Functional Transformers

Autor:	A. A. Polishchuk, N. F. Kirichenko, Yu. V. Krak
Rok vydání:	2004
Předmět:	Nonlinear system Mathematical optimization Superposition principle General Computer Science law Data approximation Transformer Topology Block matrix pseudoinverse Network topology Moore–Penrose pseudoinverse law.invention Mathematics
Zdroj:	Cybernetics and Systems Analysis. 40:407-419
ISSN:	1060-0396
DOI:	10.1023/b:casa.0000041999.63598.28
Popis:	An approach is proposed to derive dependences in the form of functional transformers. Conditions of existence and the method of constructing such functional transformers as a superposition of linear and nonlinear functions from a specified class are presented. The principle of optimal synthesis of functional transformers is formulated based on the theory of disturbance of projective and pseudoinverse operators. Methods are proposed for constructing complex functional transformers of different topologies.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f9346bbefd3d620c73b51601383dfa5a https://doi.org/10.1023/b:casa.0000041999.63598.28 Zobrazit plný text záznamu Full text from SpringerLink