Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants

The article deals with a proof of a formula, devoted to expansion of a determinant by any of k rows and k columns. By its help the area of unstability in a electromechanical system can be determined.

Bibliographic Details
Main Author: Algis Kavaliauskas
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/34434
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author Algis Kavaliauskas
author_facet Algis Kavaliauskas
author_sort Algis Kavaliauskas
collection DOAJ
description The article deals with a proof of a formula, devoted to expansion of a determinant by any of k rows and k columns. By its help the area of unstability in a electromechanical system can be determined.
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spelling doaj.art-df2d09a432f44cf48b5fd92f3a7a7e142024-04-22T09:04:58ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2001-12-0141spec.10.15388/LMR.2001.34434Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinantsAlgis Kavaliauskas0Vilnius University The article deals with a proof of a formula, devoted to expansion of a determinant by any of k rows and k columns. By its help the area of unstability in a electromechanical system can be determined. https://www.zurnalai.vu.lt/LMR/article/view/34434
spellingShingle Algis Kavaliauskas
Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
Lietuvos Matematikos Rinkinys
title Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
title_full Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
title_fullStr Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
title_full_unstemmed Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
title_short Determination of an unstability area of a system by using the expansion of a n-th order determinant by k-th order determinants
title_sort determination of an unstability area of a system by using the expansion of a n th order determinant by k th order determinants
url https://www.zurnalai.vu.lt/LMR/article/view/34434
work_keys_str_mv AT algiskavaliauskas determinationofanunstabilityareaofasystembyusingtheexpansionofanthorderdeterminantbykthorderdeterminants