Loading…

The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent

A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These mo...

Full description

Saved in:
Bibliographic Details
Main Authors: Vacca, F., Vergura, S.
Format: Conference Proceeding
Language:English
Subjects:
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 775
container_issue
container_start_page 772
container_title
container_volume 1
creator Vacca, F.
Vergura, S.
description A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These modifications can be considered as successive removals of the meshes. The whole procedure can be systematically interpreted; in this way, after a circuit is assigned, it is possible to switch to a modified circuit, considering circuital transformations in role of mathematical ones
doi_str_mv 10.1109/EURCON.2005.1630046
format conference_proceeding
fullrecord <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_1630046</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>1630046</ieee_id><sourcerecordid>1630046</sourcerecordid><originalsourceid>FETCH-LOGICAL-i175t-cba54398537d9730954c0889acae90ab747977c9f82e081623073ad6ab097edf3</originalsourceid><addsrcrecordid>eNotj9tKw0AYhBdEUGqfoDf7Aon_nrK73kmIVahWJNXL8ifZ2JUcdJNY-vYG7NwMwzcMDCErBjFjYG-z3Vu6fYk5gIpZIgBkckGWVhsmuZRztPyKLIfhC2ZJxbhW1-QjPzi6xmkYaNb41nc4-r6jdehbOs4o9aGc_EjnWh9O9LX33Uj7mr57d7yjefDYfU4NBvrshgPNfib_i43rxhtyWWMzuOXZF2T3kOXpY7TZrp_S-03kmVZjVBaopLBGCV1ZLcAqWYIxFkt0FrDQUlutS1sb7sCwhAvQAqsEC7DaVbVYkNX_rnfO7b-DbzGc9uf74g-WBVA1</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Vacca, F. ; Vergura, S.</creator><creatorcontrib>Vacca, F. ; Vergura, S.</creatorcontrib><description>A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These modifications can be considered as successive removals of the meshes. The whole procedure can be systematically interpreted; in this way, after a circuit is assigned, it is possible to switch to a modified circuit, considering circuital transformations in role of mathematical ones</description><identifier>ISBN: 9781424400492</identifier><identifier>ISBN: 142440049X</identifier><identifier>DOI: 10.1109/EURCON.2005.1630046</identifier><language>eng</language><publisher>IEEE</publisher><subject>Circuit analysis computing ; Circuit theory ; Equations ; Gauss Elimination ; Gaussian processes ; Kirchhoff's Law ; Resistors ; RLC circuits ; Switches ; Triangular Mesh Equivalent ; Vectors ; Voltage</subject><ispartof>EUROCON 2005 - The International Conference on "Computer as a Tool", 2005, Vol.1, p.772-775</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1630046$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,4050,4051,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1630046$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Vacca, F.</creatorcontrib><creatorcontrib>Vergura, S.</creatorcontrib><title>The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent</title><title>EUROCON 2005 - The International Conference on "Computer as a Tool"</title><addtitle>EURCON</addtitle><description>A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These modifications can be considered as successive removals of the meshes. The whole procedure can be systematically interpreted; in this way, after a circuit is assigned, it is possible to switch to a modified circuit, considering circuital transformations in role of mathematical ones</description><subject>Circuit analysis computing</subject><subject>Circuit theory</subject><subject>Equations</subject><subject>Gauss Elimination</subject><subject>Gaussian processes</subject><subject>Kirchhoff's Law</subject><subject>Resistors</subject><subject>RLC circuits</subject><subject>Switches</subject><subject>Triangular Mesh Equivalent</subject><subject>Vectors</subject><subject>Voltage</subject><isbn>9781424400492</isbn><isbn>142440049X</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2005</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNotj9tKw0AYhBdEUGqfoDf7Aon_nrK73kmIVahWJNXL8ifZ2JUcdJNY-vYG7NwMwzcMDCErBjFjYG-z3Vu6fYk5gIpZIgBkckGWVhsmuZRztPyKLIfhC2ZJxbhW1-QjPzi6xmkYaNb41nc4-r6jdehbOs4o9aGc_EjnWh9O9LX33Uj7mr57d7yjefDYfU4NBvrshgPNfib_i43rxhtyWWMzuOXZF2T3kOXpY7TZrp_S-03kmVZjVBaopLBGCV1ZLcAqWYIxFkt0FrDQUlutS1sb7sCwhAvQAqsEC7DaVbVYkNX_rnfO7b-DbzGc9uf74g-WBVA1</recordid><startdate>2005</startdate><enddate>2005</enddate><creator>Vacca, F.</creator><creator>Vergura, S.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>2005</creationdate><title>The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent</title><author>Vacca, F. ; Vergura, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-cba54398537d9730954c0889acae90ab747977c9f82e081623073ad6ab097edf3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Circuit analysis computing</topic><topic>Circuit theory</topic><topic>Equations</topic><topic>Gauss Elimination</topic><topic>Gaussian processes</topic><topic>Kirchhoff's Law</topic><topic>Resistors</topic><topic>RLC circuits</topic><topic>Switches</topic><topic>Triangular Mesh Equivalent</topic><topic>Vectors</topic><topic>Voltage</topic><toplevel>online_resources</toplevel><creatorcontrib>Vacca, F.</creatorcontrib><creatorcontrib>Vergura, S.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vacca, F.</au><au>Vergura, S.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent</atitle><btitle>EUROCON 2005 - The International Conference on "Computer as a Tool"</btitle><stitle>EURCON</stitle><date>2005</date><risdate>2005</risdate><volume>1</volume><spage>772</spage><epage>775</epage><pages>772-775</pages><isbn>9781424400492</isbn><isbn>142440049X</isbn><abstract>A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These modifications can be considered as successive removals of the meshes. The whole procedure can be systematically interpreted; in this way, after a circuit is assigned, it is possible to switch to a modified circuit, considering circuital transformations in role of mathematical ones</abstract><pub>IEEE</pub><doi>10.1109/EURCON.2005.1630046</doi><tpages>4</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISBN: 9781424400492
ispartof EUROCON 2005 - The International Conference on "Computer as a Tool", 2005, Vol.1, p.772-775
issn
language eng
recordid cdi_ieee_primary_1630046
source IEEE Electronic Library (IEL) Conference Proceedings
subjects Circuit analysis computing
Circuit theory
Equations
Gauss Elimination
Gaussian processes
Kirchhoff's Law
Resistors
RLC circuits
Switches
Triangular Mesh Equivalent
Vectors
Voltage
title The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T22%3A32%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=The%20Gauss%20Elimination%20from%20the%20Circuit%20Theory%20Point%20of%20View:%20Triangular%20Mesh%20Equivalent&rft.btitle=EUROCON%202005%20-%20The%20International%20Conference%20on%20%22Computer%20as%20a%20Tool%22&rft.au=Vacca,%20F.&rft.date=2005&rft.volume=1&rft.spage=772&rft.epage=775&rft.pages=772-775&rft.isbn=9781424400492&rft.isbn_list=142440049X&rft_id=info:doi/10.1109/EURCON.2005.1630046&rft_dat=%3Cieee_6IE%3E1630046%3C/ieee_6IE%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-i175t-cba54398537d9730954c0889acae90ab747977c9f82e081623073ad6ab097edf3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=1630046&rfr_iscdi=true