The book contains an introduction to matrix analysis, and to the basic algorithms of numer- ical linear algebra. Further results can be found in many text books. The book of Horn and Johnson [HJ85] is an excellent reference for theoretical results about matrix analysis; see also [Bha97]. The subject of linear algebra, and matrix analysis in particular, is treated in an original and illuminating fashion in [Lax97]. For a general introduction to the subject of numerical linear algebra we recommend the book by Trefethen and Bau [TB97]; more theoretical treatments of the subject can be found in Demmel [Dem97], Golub and Van Loan [GL96] and in.