TY - JOUR
T1 - Georg von Charasoff and anticipation of von Mises Iteration in economic analysis
AU - Mori, Kenji
N1 - Publisher Copyright:
© 2016 L'Harmattan. Tous droits réservés pour tous pays.
PY - 2016/12/21
Y1 - 2016/12/21
N2 - In his main work Das System des Marxismus. Darstellung und Kritik, 1910, Georg von Charasoff criticized and reconstructed Marx's price theory and, in doing this, anticipated, at an advanced analytical level, most of the results that were going to be achieved later in the course of the 'transformation controversy'. However, his contribution can be considered to go beyond the particular range of Marxian theory. The aim of this paper is to show how Charasoff's linear economic analysis, in particular his theory of "Urkapital (original capital)", price of production and labour value, anticipated the development of matrix theory by Richard von Mises and Hilda Pollaczek-Geiringer (1929). They devised and proved namely practical procedures to calculate eigenvalues and eigenvectors (the so-called "Power Method" or "von Mises Iteration") and proposed, furthermore, an iterative procedure to solve inhomogeneous linear equation systems.
AB - In his main work Das System des Marxismus. Darstellung und Kritik, 1910, Georg von Charasoff criticized and reconstructed Marx's price theory and, in doing this, anticipated, at an advanced analytical level, most of the results that were going to be achieved later in the course of the 'transformation controversy'. However, his contribution can be considered to go beyond the particular range of Marxian theory. The aim of this paper is to show how Charasoff's linear economic analysis, in particular his theory of "Urkapital (original capital)", price of production and labour value, anticipated the development of matrix theory by Richard von Mises and Hilda Pollaczek-Geiringer (1929). They devised and proved namely practical procedures to calculate eigenvalues and eigenvectors (the so-called "Power Method" or "von Mises Iteration") and proposed, furthermore, an iterative procedure to solve inhomogeneous linear equation systems.
KW - Georg von Charasoff
KW - Power method
KW - Richard von Mises
KW - Transformation problem
UR - http://www.scopus.com/inward/record.url?scp=85007124114&partnerID=8YFLogxK
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U2 - 10.3917/cep.071.0065
DO - 10.3917/cep.071.0065
M3 - Review article
AN - SCOPUS:85007124114
SN - 1969-6779
VL - 71
SP - 65
EP - 89
JO - Cahiers d'Economie Politique
JF - Cahiers d'Economie Politique
IS - 2
ER -