Java Number Cruncher: The Java Programmers Guide to Numerical Computing

Bronson, Richard, Matrix Operations , New York: McGraw-Hill, 1989.

Traditional algorithms for computing determinants can be found in most textbooks on elementary linear algebra, such as Bronson in Chapter 5 and Lipschutz and Lipson in Chapter 8. Lipschutz and Lipson also discuss Cramer's rule.

Chapra, Seven C., and Raymond P. Canale, Numerical Methods for Engineers , 3rd edition, New York: WCB/McGraw-Hill, 1998.

This book discusses matrix inversion in Section 10.2 and matrix norms and condition numbers in Section 10.3.

Forsythe, George, and Cleve B. Moler, Computer Solutions of Linear Algebraic Systems , Englewood Cliffs, NJ: Prentice Hall, 1967.

This text covers matrix norms in Chapter 2, condition numbers in Chapter 8, computation of the determinant in Chapter 14, matrix inversion in Chapter 18, and Hilbert matrices in Chapter 19.

Lipschutz, Seymour, and Marc Lipson, Linear Algebra , 3rd edition, New York; McGraw-Hill, 2001.