CHAPTER-1 MATHEMATICAL MODELING & ENGINEERING PROBLEM SOLVING

CHAPTER – APPROXIMATIONS & ROUND-OFF ERRORS

CHAPTER – GAUSS ELIMINATIONThis chapter deals with simultaneous linear algebraic equations that can be representedGenerally as

a11x1 + a12x2 + . . . + a1nxn = b1

a21x1 + a22x2 + . . . + a2nxn = b2

an1x1 + an2x2 + . . . + annxn = bn

where the a’s are constant coefficients and the b’s are constants.The technique described in this chapter is called gauss elimination because it involvesCombining equations to eliminate unknowns. Although it is one of the earliest method forSolving simultaneous equations, it remains among the most important algorithms in use todayAnd is the basis for liner equation solving on many popular software packages.

CHAPTER- LU DECOMPOSITION & MATRIX INVERSION