imported>Fylwind: Rewrote the Algorithm and Finding an initial canonical tableau sections to find a maximum rather than minimum for consistency with other parts of the article.

2025-12-25T05:57:53Z

Rewrote the Algorithm and Finding an initial canonical tableau sections to find a maximum rather than minimum for consistency with other parts of the article.

Show changes

imported>RobbieIanMorrison: added 'failed verification' template

2025-06-16T14:30:26Z

added 'failed verification' template

← Previous revision		Revision as of 14:30, 16 June 2025
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	{{about\|the linear programming algorithm\|the non-linear optimization heuristic\|Nelder–Mead method}}		{{about\|the linear programming algorithm\|the non-linear optimization heuristic\|Nelder–Mead method}}
	<!-- {{Context\|date=March 2012}} -->		<!-- {{Context\|date=March 2012}} -->
	In [[optimization (mathematics)\|mathematical optimization]], [[George Dantzig\|Dantzig]]'s '''simplex algorithm''' (or '''simplex method''') is a popular [[algorithm]] for [[linear programming]].<ref name="Murty">{{cite book \|last=Murty \|first=Katta G. \|author-link=Katta G. Murty \|year=2000 \|title=Linear programming \|publisher=John Wiley & Sons \|url=http://www.computer.org/csdl/mags/cs/2000/01/c1022.html}}</ref>		In [[optimization (mathematics)\|mathematical optimization]], [[George Dantzig\|Dantzig]]'s '''simplex algorithm''' (or '''simplex method''') is a popular [[algorithm]] for [[linear programming]].<ref name="Murty">{{cite book \|last=Murty \|first=Katta G. \|author-link=Katta G. Murty \|year=2000 \|title=Linear programming \|publisher=John Wiley & Sons \|url=http://www.computer.org/csdl/mags/cs/2000/01/c1022.html}}</ref>{{failed verification\|date=June 2025\|reason=Could not locate reference.}}

	The name of the algorithm is derived from the concept of a [[simplex]] and was suggested by [[Theodore Motzkin\|T. S. Motzkin]].<ref name="Murty22" >{{harvtxt\|Murty\|1983\|loc=Comment 2.2}}</ref> Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial ''[[cone (geometry)\|cone]]s'', and these become proper simplices with an additional constraint.<ref name="Murty39">{{harvtxt\|Murty\|1983\|loc=Note 3.9}}</ref><ref name="StoneTovey">{{cite journal\|last1=Stone\|first1=Richard E.\|last2=Tovey\|first2=Craig A.\|title=The simplex and projective scaling algorithms as iteratively reweighted least squares methods\|journal=SIAM Review\|volume=33\|year=1991\|issue=2\|pages=220–237		The name of the algorithm is derived from the concept of a [[simplex]] and was suggested by [[Theodore Motzkin\|T. S. Motzkin]].<ref name="Murty22" >{{harvtxt\|Murty\|1983\|loc=Comment 2.2}}</ref> Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial ''[[cone (geometry)\|cone]]s'', and these become proper simplices with an additional constraint.<ref name="Murty39">{{harvtxt\|Murty\|1983\|loc=Note 3.9}}</ref><ref name="StoneTovey">{{cite journal\|last1=Stone\|first1=Richard E.\|last2=Tovey\|first2=Craig A.\|title=The simplex and projective scaling algorithms as iteratively reweighted least squares methods\|journal=SIAM Review\|volume=33\|year=1991\|issue=2\|pages=220–237

62.167.89.174: then -> than

2025-05-18T02:24:53Z

then -> than

Show changes

← Previous revision		Revision as of 14:30, 16 June 2025
Line 2:		Line 2:
	{{about\|the linear programming algorithm\|the non-linear optimization heuristic\|Nelder–Mead method}}		{{about\|the linear programming algorithm\|the non-linear optimization heuristic\|Nelder–Mead method}}
	<!-- {{Context\|date=March 2012}} -->		<!-- {{Context\|date=March 2012}} -->
	In [[optimization (mathematics)\|mathematical optimization]], [[George Dantzig\|Dantzig]]'s '''simplex algorithm''' (or '''simplex method''') is a popular [[algorithm]] for [[linear programming]].<ref name="Murty">{{cite book \|last=Murty \|first=Katta G. \|author-link=Katta G. Murty \|year=2000 \|title=Linear programming \|publisher=John Wiley & Sons \|url=http://www.computer.org/csdl/mags/cs/2000/01/c1022.html}}</ref>		In [[optimization (mathematics)\|mathematical optimization]], [[George Dantzig\|Dantzig]]'s '''simplex algorithm''' (or '''simplex method''') is a popular [[algorithm]] for [[linear programming]].<ref name="Murty">{{cite book \|last=Murty \|first=Katta G. \|author-link=Katta G. Murty \|year=2000 \|title=Linear programming \|publisher=John Wiley & Sons \|url=http://www.computer.org/csdl/mags/cs/2000/01/c1022.html}}</ref>{{failed verification\|date=June 2025\|reason=Could not locate reference.}}

	The name of the algorithm is derived from the concept of a [[simplex]] and was suggested by [[Theodore Motzkin\|T. S. Motzkin]].<ref name="Murty22" >{{harvtxt\|Murty\|1983\|loc=Comment 2.2}}</ref> Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial ''[[cone (geometry)\|cone]]s'', and these become proper simplices with an additional constraint.<ref name="Murty39">{{harvtxt\|Murty\|1983\|loc=Note 3.9}}</ref><ref name="StoneTovey">{{cite journal\|last1=Stone\|first1=Richard E.\|last2=Tovey\|first2=Craig A.\|title=The simplex and projective scaling algorithms as iteratively reweighted least squares methods\|journal=SIAM Review\|volume=33\|year=1991\|issue=2\|pages=220–237		The name of the algorithm is derived from the concept of a [[simplex]] and was suggested by [[Theodore Motzkin\|T. S. Motzkin]].<ref name="Murty22" >{{harvtxt\|Murty\|1983\|loc=Comment 2.2}}</ref> Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial ''[[cone (geometry)\|cone]]s'', and these become proper simplices with an additional constraint.<ref name="Murty39">{{harvtxt\|Murty\|1983\|loc=Note 3.9}}</ref><ref name="StoneTovey">{{cite journal\|last1=Stone\|first1=Richard E.\|last2=Tovey\|first2=Craig A.\|title=The simplex and projective scaling algorithms as iteratively reweighted least squares methods\|journal=SIAM Review\|volume=33\|year=1991\|issue=2\|pages=220–237

Simplex algorithm - Revision history

imported>Fylwind: Rewrote the Algorithm and Finding an initial canonical tableau sections to find a maximum rather than minimum for consistency with other parts of the article.

imported>RobbieIanMorrison: added 'failed verification' template

62.167.89.174: then -> than