000			01586nam a22001817a 4500
999			_c53769 _d53769
008			191018b2009 ||||| |||| 00| 0 eng d
020			_a9789386235381
082			_a511.42 IPS-I
100			_aIpsen, Ilse C. F.
245			_aNumerical matrix analysis : _blinear systems and least squares / _cIlse C. F. Ipsen
260			_aIndia _bUniversity Press _c2009
300			_a128 p.
365			_aINR _b325.00.
500			_aThis self-contained textbook presents matrix analysis in the context of numerical computation with numerical conditioning of problems and numerical stability of algorithms at the forefront. Using a unique combination of numerical insight and mathematical rigor, it advances readers understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms.&Nbsp; this book differs from other numerical linear algebra texts by offering A systematic development of numerical conditioning, A simplified concept of numerical stability in exact Arithmetic, simple derivations, A high-level view of algorithms, and results for complex matrices. The material is presented at a basic level, emphasizing ideas and intuition, and each Chapter offers simple exercises for use in the classroom and more challenging exercises for student practice. This book is intended for first-year graduate students in Engineering, operations research, computational Science, and all areas of Mathematics. It also is appropriate for self-study.
650			_aMatrices
650			_aLeast squares
650			_aLinear systems