MATH 471
Numerical Analysis I
Semester II, 200304(032)
Supplementary References
(SR)
M. Sarhan
(1) 

For Topic III: Review of some topics from Linear Algebra and Matrix Theory – Select any reference you prefer. The following reference is recommended: G. Strang: Linear Algebra and Its Applications. Saunders – HBJ(1988). 
(2) 
(a) (b) (c) 
Topic (IV) M. Sarhan (lecture notes): Operations Count and Storage. Tridiagonal Systems (p. 74): H.B. Keller: Numerical Methods for TwoPoint BoundaryValue Problems. Blaisdell (1968). Z. Nashed (lecture notes): Numerical Inversion of Upper Triangular Matrices. 
(3) 
(a) (b) (c) 
Topic (V) M. Sarhan (lecture notes): (i) Rounding Error in Gaussian Elimination (ii) Estimating the Condition Number of a Matrix. Z. Nashed (lecture notes): Error Analysis of Perturbed Systems of Linear Equations. Convergent Matrices and A Posteriori Error Estimates (Secs 1.1.1 and 2.1.3): E. Isaacson and H.B. Keller: Analysis of Numerical Methods. John Wiley (1966). 
(4) 

Topic (VII) Orthogonal Polynomials and LeastSquares (Parts of Secs. 6.3 and 6.4): S.D. Conte and C. de Boor: Elementary Numerical Analysis: An Algorithmic Approach, 3^{rd} ed. McGrawHill (1980). 
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