An algorithm for representing functions of many variables by superpositions of functions of one variable and addition

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 43, Issue 4, 1996, Pages 338-340

  Yamamura, Kiyotaka ^a  

^a GUNMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; DIFFERENTIATION (CALCULUS); DIGITAL ARITHMETIC; FUNCTIONS; NONLINEAR EQUATIONS; NONLINEAR NETWORK ANALYSIS; PIECEWISE LINEAR TECHNIQUES;

COMPUTATIONAL GRAPH; FUNCTION REPRESENTATION; FUNCTION SUPERPOSITIONS; NONSEPARABLE FUNCTIONS;

ALGORITHMS;

EID: 0030130215     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.488814     Document Type: Article

References (13)

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3. A. N. Kolmogorov, "On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition," Dokl. Akud. Nauk SSSR, vol. 114, pp. 953-956, 1957 (in Russian). (English transi.: American Mathematical Biophysics, vol. 5, pp. 55-59, 1963.)
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10. K. Yanianiura, "An algorithm for representing functions of many variables by superpositions of functions of one variable and addition," Tech. Rep., Dep. Comput. Sei., Gunma Univ., CS-93-3, Dec. 1993.
11. K. Fukuyaraa, K. Yamamura, and K. Horiuchi, Application of the rectangular algorithm to nonseparable systems of nonlinear equations," Trans. IEICE, vol. J72-A, pp. 625-627 (in Japanese), Mar. 1989.
12. K. Yamamura and K. Horiuchi, "A globally and quadradcally convergent algorithm for solving nonlinear resistive networks," IEEE Trans. Computer-Aided De sign, vol. 9, pp. 487-499, May 1990.
13. K. Yamamura, 'Tinding all solutions of piecewise-linear resistive circuits using simple sign tests," IEEE Trans. Circuits Syst. I, vol. 40, pp. 546-551, Aug. 1993.