The Schur Complements and the Le Chatelier-Braun Principle

Autor:	Fujimoto, Takao, Hisamatsu, Hiroyuki, Ranade, Ravindra Raghunath
Jazyk:	angličtina
Rok vydání:	2004
Předmět:	Duncan identity Le Chatelier-Braun principle Schur complements Reverse bordering method
Zdroj:	香川大学経済論叢. 77(3):389-397
ISSN:	0389-3030
Popis:	application/pdf By considering the Le Chatelier-Braun principle in thermodynamics for a system of linear equations, we derive a formula which describes how to calculate the inverse of principal submatrices of a real square matrix, based upon the inverse of the given matrix. This formula is related to the Schur complement, and is due to Duncan. Thus, the second term of Schur complement a la Duncan may be interpreted as the matrix of exact Le Chatelier-Braun effects. All proofs are simple and elementary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=jairo_______::feb3a435e2ac22981f26537fdff18378 https://kagawa-u.repo.nii.ac.jp/records/8119 Zobrazit plný text záznamu