Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions

Tobias Roland; Tasi Gyula

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Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions

机译：Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions

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摘要

In this paper, ignoring graph-theoretic tools, simple algebraic solutions are presented for the kinetic problems of the triangle, quadrangle and pentangle reactions with the help of Krylov and Vandermonde matrices. As far as we know at the time of writing, this is the first time for the cases of the quadrangle and pentangle reactions. Our solutions do not require diagonalizability and non-degenerate eigenvalues concerning the coefficient matrix of the first-order reaction network.

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来源
《Journal of mathematical chemistry》 |2016年第1期|85-99|共15页
作者
Tobias Roland; Tasi Gyula;
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作者单位

Univ Szeged, Dept Appl & Environm Chem, H-6720 Szeged, Hungary;

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收录信息美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种英语
中图分类化学原理和方法;
关键词
First-order reaction network; Algebraic model; Krylov and Vandermonde matrices; Triangle; Quadrangle and pentangle reactions; Analytical and numerical solutions;

Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions

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