Linear interval equations

Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set.

Gespeichert in:

Autor*in:	Ratschek, H. [verfasserIn] Sauer, W.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1982

Systematik:	SA 4220 SA 4220

Anmerkung:	© Springer-Verlag 1982

Übergeordnetes Werk:	Enthalten in: Computing - Springer-Verlag, 1966, 28(1982), 2 vom: Juni, Seite 105-115
Übergeordnetes Werk:	volume:28 ; year:1982 ; number:2 ; month:06 ; pages:105-115

Links:	Volltext

DOI / URN:	10.1007/BF02241817

Katalog-ID:	OLC2061410650

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allfields	10.1007/BF02241817 doi (DE-627)OLC2061410650 (DE-He213)BF02241817-p DE-627 ger DE-627 rakwb eng 004 VZ SA 4220 VZ rvk SA 4220 VZ rvk Ratschek, H. verfasserin aut Linear interval equations 1982 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1982 Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. Sauer, W. aut Enthalten in Computing Springer-Verlag, 1966 28(1982), 2 vom: Juni, Seite 105-115 (DE-627)129534927 (DE-600)215907-7 (DE-576)014963949 0010-485X nnns volume:28 year:1982 number:2 month:06 pages:105-115 https://doi.org/10.1007/BF02241817 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 4220 SA 4220 AR 28 1982 2 06 105-115
spelling	10.1007/BF02241817 doi (DE-627)OLC2061410650 (DE-He213)BF02241817-p DE-627 ger DE-627 rakwb eng 004 VZ SA 4220 VZ rvk SA 4220 VZ rvk Ratschek, H. verfasserin aut Linear interval equations 1982 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1982 Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. Sauer, W. aut Enthalten in Computing Springer-Verlag, 1966 28(1982), 2 vom: Juni, Seite 105-115 (DE-627)129534927 (DE-600)215907-7 (DE-576)014963949 0010-485X nnns volume:28 year:1982 number:2 month:06 pages:105-115 https://doi.org/10.1007/BF02241817 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 4220 SA 4220 AR 28 1982 2 06 105-115
allfields_unstemmed	10.1007/BF02241817 doi (DE-627)OLC2061410650 (DE-He213)BF02241817-p DE-627 ger DE-627 rakwb eng 004 VZ SA 4220 VZ rvk SA 4220 VZ rvk Ratschek, H. verfasserin aut Linear interval equations 1982 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1982 Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. Sauer, W. aut Enthalten in Computing Springer-Verlag, 1966 28(1982), 2 vom: Juni, Seite 105-115 (DE-627)129534927 (DE-600)215907-7 (DE-576)014963949 0010-485X nnns volume:28 year:1982 number:2 month:06 pages:105-115 https://doi.org/10.1007/BF02241817 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 4220 SA 4220 AR 28 1982 2 06 105-115
allfieldsGer	10.1007/BF02241817 doi (DE-627)OLC2061410650 (DE-He213)BF02241817-p DE-627 ger DE-627 rakwb eng 004 VZ SA 4220 VZ rvk SA 4220 VZ rvk Ratschek, H. verfasserin aut Linear interval equations 1982 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1982 Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. Sauer, W. aut Enthalten in Computing Springer-Verlag, 1966 28(1982), 2 vom: Juni, Seite 105-115 (DE-627)129534927 (DE-600)215907-7 (DE-576)014963949 0010-485X nnns volume:28 year:1982 number:2 month:06 pages:105-115 https://doi.org/10.1007/BF02241817 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 4220 SA 4220 AR 28 1982 2 06 105-115
allfieldsSound	10.1007/BF02241817 doi (DE-627)OLC2061410650 (DE-He213)BF02241817-p DE-627 ger DE-627 rakwb eng 004 VZ SA 4220 VZ rvk SA 4220 VZ rvk Ratschek, H. verfasserin aut Linear interval equations 1982 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1982 Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. Sauer, W. aut Enthalten in Computing Springer-Verlag, 1966 28(1982), 2 vom: Juni, Seite 105-115 (DE-627)129534927 (DE-600)215907-7 (DE-576)014963949 0010-485X nnns volume:28 year:1982 number:2 month:06 pages:105-115 https://doi.org/10.1007/BF02241817 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 4220 SA 4220 AR 28 1982 2 06 105-115
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source	Enthalten in Computing 28(1982), 2 vom: Juni, Seite 105-115 volume:28 year:1982 number:2 month:06 pages:105-115
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author	Ratschek, H.
spellingShingle	Ratschek, H. ddc 004 rvk SA 4220 Linear interval equations
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topic_title	004 VZ SA 4220 VZ rvk Linear interval equations
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title_auth	Linear interval equations
abstract	Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. © Springer-Verlag 1982
abstractGer	Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. © Springer-Verlag 1982
abstract_unstemmed	Abstract Necessary and sufficient criteria are given for the existence and uniqueness of solutions of linear interval equations. Explicit formulas are given for the solution set when the solution set is convex. Necessary and sufficient conditions are given for the convexity of the solution set. © Springer-Verlag 1982
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