March 2014
Intermediate to advanced
412 pages
11h 16m
English
Content preview from Numerical Methods and Optimization
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Contents
IBasics 1
1 Preliminaries 3
1.1 SetsandFunctions........................ 3
1.2 Fundamental Theorem of Algebra ............... 6
1.3 VectorsandLinear(Vector)Spaces .............. 7
1.3.1 Vectornorms ....................... 10
1.4 MatricesandTheirProperties ................. 12
1.4.1 Matrixadditionandscalarmultiplication ....... 12
1.4.2 Matrixmultiplication .................. 13
1.4.3 Thetransposeofamatrix................ 14
1.4.4 Triangular and diagonal matrices ............ 15
1.4.5 Determinants....................... 16
1.4.6 Traceofamatrix..................... 17
1.4.7 Rankofamatrix..................... 18
1.4.8 Theinverseofanonsingularmatrix
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