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010   $a3-319-75187-5
024 7 $a10.1007/978-3-319-75187-0
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035   $a(DE-He213)978-3-319-75187-0
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035   $a(PPN)224638033
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100   $a20180209d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aParametric Interval Algebraic Systems /$fby Iwona Skalna
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XXIV, 191 p. 26 illus.) 
225 1 $aStudies in Computational Intelligence,$x1860-949X ;$v766
300   $aIncludes index.
311   $a3-319-75186-7 
327   $aIntroduction -- Interval arithmetic -- Alternative arithmetic -- Interval and parametric interval matrices -- Linear systems -- Methods for solving parametric interval linear systems -- Methods for computing parametric solution -- Parametric interval linear programming problem.
330   $aThis self-contained book presents a framework for solving a general class of linear systems with coefficients being continuous functions of parameters varying within prescribed intervals. It also provides a comprehensive overview of the theory related to solving parametric interval linear systems and the basic properties of parametric interval matrices. In particular, it develops several new algorithms delivering sharp rigorous bounds for the solutions of such systems with full mathematical rigor. The framework employs the arithmetic of revised affine forms that enables the readers to handle dependent data. The book is intended not only for researchers interested in developing rigorous methods of numerical linear algebra, but also for engineers dealing with problems involving uncertain data. The theory discussed is also useful in various other fields of numerical analysis, in computer graphics, economics, computational geometry, computer-aided design, computer-assisted proofs, computer graphics, control theory, solving constraint satisfaction problems, and global optimization.
410  0$aStudies in Computational Intelligence,$x1860-949X ;$v766
606   $aComputational intelligence
606   $aSystem theory
606   $aArtificial intelligence
606   $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000
615  0$aComputational intelligence.
615  0$aSystem theory.
615  0$aArtificial intelligence.
615 14$aComputational Intelligence.
615 24$aSystems Theory, Control.
615 24$aArtificial Intelligence.
676   $a006.3
700   $aSkalna$b Iwona$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059063
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299947303321
996   $aParametric Interval Algebraic Systems$92540274
997   $aUNINA