ELEMENTS OF FINITE ELEMENT ANALYSIS

Abstract

Matrix algebra pervades and enriches almost all areas- in numerical computations, Numerous methods are ava.- ilable for' the computer solution of problems l± matrix • algebra. Yet this field is constantly expanding, the reason being that. no single computational method in matrix algebrE can be said to be. best suited for all types of a particular • problem. Since linear simultaneous equations can be expre-.ssed as matrix equations- these constitute an important aspect in matrix algebra. 2, 0' MATRICES AND DETERMLNENTS: 2.1 Matrices: 2.1.1 Basic definitions-:. An mxn matrix is a collection of elements arranged to form a rectangular array having in rows ' and n columns or These elements may be reay- complex numbers, functions or matrices themselves,