Numerical Analysis By Shanker Rao

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11.2 Gauss–Elimination method 250
Exercise 11.2 252
11.3 Iteration methods 253
Exercise 11.3 255
Exercise 11.4 258
11.4 Crout’s triangularisation method (method of factorisation) 258
Exercise 11.5 266
CHAPTER 12—Curve Fitting 268–281
12.1 Introduction 268
12.2 The straight line 268
12.3 Fitting a straight line 268
12.4 Fitting a parabola 272
12.5 Exponential function y = ae bx 272
Exercise 12.1 278
CHAPTER 13—Eigen Values and Eigen Vectors of a Matrix 282–299
13.1 Introduction 282
13.2 Method for the largest eigen value 290
12.3 Cayley-Hamilton theorem 294
Exercise 13.1 298
CHAPTER 14—Regression Analysis 300–319
14.1 Regression analysis 300
14.2 Correlation 300
14.3 Coefficient of correlation (r) 300
14.4 Scatter diagram 300
14.5 Calculation of r (correlation coefficient) (Karl Pearson’s formula) 302
14.6 Regression 302
14.7 Regression equation 303
14.8 Curve of regression 303
14.9 Types of regression 303
14.10 Regression equations (linear fit) 303
14.11 Angle between two lines of regression 306
14.12 Solved examples 307
14.13 Multilinear linear regression 314
14.14 Uses of regression analysis 316
Exercise 14.1 316
Bibliography 320
Index 321–322