LEADER 03570nam 22005175 450 001 9911054594803321 005 20260107120404.0 010 $a3-658-50260-6 024 7 $a10.1007/978-3-658-50260-7 035 $a(CKB)44894763500041 035 $a(MiAaPQ)EBC32474580 035 $a(Au-PeEL)EBL32474580 035 $a(DE-He213)978-3-658-50260-7 035 $a(EXLCZ)9944894763500041 100 $a20260107d2026 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Methods for Linear Systems of Equations $eAn Introduction to Modern Methods With MATLAB® Implementations by C. Vömel /$fby Andreas Meister 205 $a1st ed. 2026. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer,$d2026. 215 $a1 online resource (301 pages) 225 1 $aMathematics Study Resources,$x2731-3832 ;$v26 311 08$a3-658-50259-2 327 $aExamples of the Occurrence of Linear Systems of Equations -- Fundamentals of Linear Algebra -- Direct Methods -- Iterative Methods -- Preconditioners. 330 $aThe aim of this book is to provide a comprehensive introduction to solving large systems of equations. In addition to direct algorithms, it presents a wide range of classical and modern solvers ? from splitting methods and multigrid techniques to current Krylov subspace methods (CG, GMRES, BiCGSTAB, etc.). These methods are discussed both mathematically and in terms of their practical applications. The book also offers an in-depth treatment of preconditioning techniques to accelerate existing methods. The book covers all the necessary fundamentals, making it highly suitable for self-study. The presentation of the derived algorithms allows for straightforward implementation in any programming language. Detailed MATLAB® implementations of common Krylov methods are included in the appendix. Solutions and additional materials are available online. This book is a translation of the original German 6th edition. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done primarily in terms of content, so that the book may read stylistically differently from a conventional translation. The Author Prof. Dr. Andreas Meister is a professor of Applied Mathematics at the University of Kassel, where he teaches students of mathematics and engineering as well as future teachers. His research focuses on numerical methods for real-world problems. He has received several awards, including the Kurt-Hartwig-Siemers Research Prize from the Hamburg Scientific Foundation, the Mentorship Award from the Claussen-Simon Foundation, multiple ?Lecturer of the Semester? honors, and the Teaching Excellence Award of the federal state of Hesse, Germany. 410 0$aMathematics Study Resources,$x2731-3832 ;$v26 606 $aAlgebras, Linear 606 $aMathematics$xData processing 606 $aLinear Algebra 606 $aComputational Mathematics and Numerical Analysis 615 0$aAlgebras, Linear. 615 0$aMathematics$xData processing. 615 14$aLinear Algebra. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a512.5 700 $aMeister$b Andreas$0451082 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911054594803321 996 $aNumerical Methods for Linear Systems of Equations$94529191 997 $aUNINA