LEADER 03944nam 22006375 450 001 996418201903316 005 20200707004120.0 010 $a3-030-36468-2 024 7 $a10.1007/978-3-030-36468-7 035 $a(CKB)5300000000003532 035 $a(DE-He213)978-3-030-36468-7 035 $a(MiAaPQ)EBC6126469 035 $a(PPN)243226128 035 $a(EXLCZ)995300000000003532 100 $a20200302d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Linear Algebra and Matrix Factorizations$b[electronic resource] /$fby Tom Lyche 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XXIII, 371 p. 181 illus., 37 illus. in color.) 225 1 $aTexts in Computational Science and Engineering,$x1611-0994 ;$v22 311 $a3-030-36467-4 327 $aA Short Review of Linear Algebra -- LU and QR Factorizations -- Eigenpairs and Singular Values -- Matrix Norms and Least Squares -- Kronecker Products and Fourier Transforms -- Iterative Methods for Large Linear Systems -- Eigenvalues and Eigenvectors -- Index. 330 $aAfter reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. The main characteristics of this book are as follows: It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results. Further, its respective parts can be used independently, making it suitable for self-study. The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra. 410 0$aTexts in Computational Science and Engineering,$x1611-0994 ;$v22 606 $aMatrix theory 606 $aAlgebra 606 $aAlgorithms 606 $aComputer mathematics 606 $aNumerical analysis 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aAlgorithms. 615 0$aComputer mathematics. 615 0$aNumerical analysis. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aAlgorithms. 615 24$aComputational Science and Engineering. 615 24$aNumerical Analysis. 676 $a512.9 700 $aLyche$b Tom$4aut$4http://id.loc.gov/vocabulary/relators/aut$060177 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418201903316 996 $aNumerical Linear Algebra and Matrix Factorizations$92391169 997 $aUNISA LEADER 01769nam 2200385 n 450 001 996393176903316 005 20200824121859.0 035 $a(CKB)4940000000112694 035 $a(EEBO)2240952422 035 $a(UnM)99872673e 035 $a(UnM)99872673 035 $a(EXLCZ)994940000000112694 100 $a19850424d1644 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 13$aAn appeale to the reverend and learned synod of divines$b[electronic resource] $eFor resolution of the grand controversie of these times; concerning Kings: 1 Whether their Constitution be divine, or no. 2 Whether by their place they be next under God, and above all others, beside God, or no. 3 Whether their power be resistable, or no. 4 Whether their office be forfeitable, or no. 5 Whether their persons be sacred, and not to be touched, or no. /$fBy M. Pricket. Published by speciall command 210 $aOxford $cPrinted by Leonard Lichfield, printer to the University$d1644 215 $a[2], 6 p 300 $aReplying to an attack upon him in "Perfect occurences of Parliament" by quoting from Salnar's "An harmony of the confessions of faith" and the Books of homilies of the Church of England. 300 $aAnnotation on Thomason copy: "Aug. 8th". 300 $aReproduction of the original in the British Library. 330 $aeebo-0018 606 $aMonarchy$vEarly works to 1800 615 0$aMonarchy 700 $aPricket$b M$01009818 701 $aSalnar$01009819 712 02$aChurch of England. 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996393176903316 996 $aAn appeale to the reverend and learned synod of divines$92333185 997 $aUNISA