MATH 471

Numerical Analysis I

Semester II, 2003-04(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 Two-Point Boundary-Value 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 Least-Squares (Parts of Secs. 6.3 and 6.4): S.D. Conte and C. de Boor: Elementary Numerical Analysis: An Algorithmic Approach, 3^rd ed. McGraw-Hill (1980).

Remarks:

1. Lecture notes (taken by the students) supplement the assigned materials in the textbook and the references.
2. Assignment sheets contain remarks and supplementary problems as appropriate.