000 | 01977nam a22002297a 4500 | ||
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003 | CUTN | ||
005 | 20231202151451.0 | ||
008 | 231202b |||||||| |||| 00| 0 eng d | ||
020 | _a9780000990402 | ||
041 | _aEnglish | ||
082 |
_223 _a518.43 _bLAY |
||
100 | l | _aLayton, William | |
245 |
_aNumerical Linear Algebra / _cWilliam Layton & Mike Myron Sussman |
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260 |
_aSingapore : _bWorld Scientific, _c2021. |
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300 |
_a x, 263 pages : _b illustrations ; _c23 cm. |
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500 | _a"Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"-- Provided by publisher | ||
505 |
_aTABLE OF CONTENTS _t Introduction Linear systems and finite precision arithmetic Gaussian elimination Norms and error analysis The MPP and the curse of dimensionality Iterative methods Solving Ax = b by optimization The conjugate gradient method Elgenvalue problems Appendix A; An omitted proof Appendix B: Tutorial on basic MATHLAB programming |
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650 | _a Algebras, Linear Algèbre linéaire Analyse numérique Numerical analysis | ||
690 | _aMATHEMATICS | ||
700 | _aSussman, Mike Myron | ||
942 |
_2ddc _cBOOKS |
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999 |
_c40635 _d40635 |