000			nam a22 4500
999			_c33207 _d33207
008			240304b xxu||||| |||| 00| 0 eng d
020			_a9781470474195
082			_a512.5 _bDYM
100			_aDym, Harry
245			_aLinear algebra in action
260			_bAmerican Mathematical Society, _c2007 _aProvidence :
300			_axvi, 541 p. ; _bill., _c24 cm
365			_b1740 _c₹ _d01
490			_aGraduate studies in mathematics _vVol. 78
504			_aIncludes bibliographical references (p. 531-534) and indexes.
520			_aThis book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized
650			_aFactorization
650			_aMatrix equation
650			_acomplex analysis
650			_aDescrete geometry
650			_aFunctional equations
650			_aMultilinear algebra
650			_aOperator Theory
650			_aSystem Theory
942			_2ddc _cBK