|Course:||STAT 30900=CAAM 30900, CMSC 37810|
|Title:||Mathematical Computation I: Matrix Computation Course|
|Teaching Assistant(s):||Gregory Naisat and Zhisheng Xiao|
|Class Schedule:||Sec 01: MW 3:00 PM–4:20 PM in Rosenwald 015|
|Textbook(s):||Golub, Van Loan, Matrix Computations, 4th edition|
This is an introductory course on numerical linear algebra, which is quite different from linear algebra. We will be much less interested in algebraic results that follow from axiomatic definitions of fields and vector spaces but much more interested in analytic results that hold only over the real and complex fields. The main objects of interest are real- or complex-valued matrices, which may come from differential operators, integral transforms, bilinear and quadratic forms, boundary and coboundary maps, Markov chains, correlations, DNA microarray measurements, movie ratings by viewers, friendship relations in social networks, etc. Numerical linear algebra provides the mathematical and algorithmic tools for analyzing these matrices.