000 01977nam a22002297a 4500
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
260 _aSingapore :
_bWorld Scientific,
_c2021.
300 _a x, 263 pages :
_b illustrations ;
_c23 cm.
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
650 _a Algebras, Linear Algèbre linéaire Analyse numérique Numerical analysis
690 _aMATHEMATICS
700 _aSussman, Mike Myron
942 _2ddc
_cBOOKS
999 _c40635
_d40635