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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...
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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 |
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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> |
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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 |
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