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RANK ANALYSIS OF RECTANGULAR MATRIX AS AN ELEMENT OF CONTINUATION METHOD

MACIEJ KOWALCZYK (Institute of Fundamental Technical Research, Polish Academy of Sciences, 00049 Warsaw, Poland)

Engineering Computations

ISSN: 0264-4401

Publication date: 1 January 1993

Abstract

This paper is concerned with rank analysis of rectangular matrix of a homogeneous set of incremental equations regarded as an element of continuation method. The rank analysis is based on a known feature that every rectangular matrix can be transformed into the matrix of echelon form. By inspection of the rank, correct control parameters are chosen and this allows not only for rounding limit and turning points but also for branch‐switching near bifurcation points.

Keywords

  • Rank analysis
  • Rectangular matrix

Citation

KOWALCZYK, M. (1993), "RANK ANALYSIS OF RECTANGULAR MATRIX AS AN ELEMENT OF CONTINUATION METHOD", Engineering Computations, Vol. 10 No. 1, pp. 61-80. https://doi.org/10.1108/eb023895

Download as .RIS

Publisher

:

MCB UP Ltd

Copyright © 1993, MCB UP Limited

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