001452431 000__ 03570cam\a22005297i\4500
001452431 001__ 1452431
001452431 003__ OCoLC
001452431 005__ 20230310003355.0
001452431 006__ m\\\\\o\\d\\\\\\\\
001452431 007__ cr\cn\nnnunnun
001452431 008__ 230130s2022\\\\si\a\\\\ob\\\\001\0\eng\d
001452431 019__ $$a1365334464
001452431 020__ $$a9789811985324$$q(electronic bk.)
001452431 020__ $$a9811985324$$q(electronic bk.)
001452431 020__ $$z9811985316
001452431 020__ $$z9789811985317
001452431 0247_ $$a10.1007/978-981-19-8532-4$$2doi
001452431 035__ $$aSP(OCoLC)1366491304
001452431 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX
001452431 049__ $$aISEA
001452431 050_4 $$aQA402
001452431 08204 $$a003/.74$$223/eng/20230130
001452431 1001_ $$aSogabe, Tomohiro.
001452431 24510 $$aKrylov subspace methods for linear systems :$$bprinciples of algorithms /$$cTomohiro Sogabe.
001452431 264_1 $$aSingapore :$$bSpringer,$$c2022.
001452431 300__ $$a1 online resource (216 pages) :$$billustrations (black and white).
001452431 336__ $$atext$$btxt$$2rdacontent
001452431 337__ $$acomputer$$bc$$2rdamedia
001452431 338__ $$aonline resource$$bcr$$2rdacarrier
001452431 4901_ $$aSpringer series in computational mathematics ;$$vvolume 60
001452431 504__ $$aIncludes bibliographical references and index.
001452431 5050_ $$aIntroduction to Numerical Methods for Solving Linear Systems -- Some Applications to Computational Science and Data Science -- Classication and Theory of Krylov Subspace Methods -- Applications to Shifted Linear Systems -- Applications to Matrix Functions.
001452431 506__ $$aAccess limited to authorized users.
001452431 520__ $$aThis book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace methods developed in the twentieth century are explained and derived in a concise and unified way. Furthermore, some Krylov subspace methods in the twenty-first century are described in detail, such as the COCR method for complex symmetric linear systems, the BiCR method, and the IDR(s) method for non-Hermitian linear systems. The strength of the book is not only in describing principles of Krylov subspace methods but in providing a variety of applications: shifted linear systems and matrix functions from the theoretical point of view, as well as partial differential equations, computational physics, computational particle physics, optimizations, and machine learning from a practical point of view. The book is self-contained in that basic necessary concepts of numerical linear algebra are explained, making it suitable for senior undergraduates, postgraduates, and researchers in mathematics, engineering, and computational science. Readers will find it a useful resource for understanding the principles and properties of Krylov subspace methods and correctly using those methods for solving problems in the future.
001452431 588__ $$aDescription based on print version record.
001452431 650_0 $$aLinear systems.
001452431 650_0 $$aNumerical analysis.
001452431 650_0 $$aAlgorithms.
001452431 655_0 $$aElectronic books.
001452431 77608 $$iPrint version:$$aSOGABE, TOMOHIRO.$$tKRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS.$$d[Place of publication not identified] : SPRINGER VERLAG, SINGAPOR, 2023$$z9811985316$$w(OCoLC)1349089988
001452431 830_0 $$aSpringer series in computational mathematics ;$$vv. 60.
001452431 852__ $$bebk
001452431 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-8532-4$$zOnline Access$$91397441.1
001452431 909CO $$ooai:library.usi.edu:1452431$$pGLOBAL_SET
001452431 980__ $$aBIB
001452431 980__ $$aEBOOK
001452431 982__ $$aEbook
001452431 983__ $$aOnline
001452431 994__ $$a92$$bISE