References

   

 
Java Number Cruncher: The Java Programmer's Guide to Numerical Computing
By Ronald  Mak

Table of Contents
Chapter  10.   Solving Systems of Linear Equations

References

Atkinson, L.V., and P.J. Harley, An Introduction to Numerical Methods with Pascal , London: Addison-Wesley, 1983.

Chapra, Seven C., and Raymond P. Canale, Numerical Methods for Engineers , 3rd edition, New York: WCB/McGraw-Hill, 1998.
Polynomial regression is discussed by Chapra and Canale in Section 17.2.

Cheny, Ward, and David Kincaid, Numerical Mathematics and Computing , 4th edition, Pacific Grove, CA: Brooks/Cole, 1999.

Forsythe, George, Michael A. Malcolm, and Cleve B. Moler, Computer Methods for Mathematical Computations , Englewood Cliffs, NJ: Prentice-Hall, 1977.
Forsythe is the classic reference for solving systems of linear equations using LU decomposition. It contains a constructive proof that matrix A can be factored into matrices L and U, as well as error analyses of the algorithms. It has program listings in Algol, FORTRAN, and PL/I. For more contemporary textbooks that describe Gaussian elimination and LU decomposition, see Chapra and Canale, Sections 9.1 C9.4 and 10.1; Cheney and Kincaid, Sections 6.1 and 6.2; Woodford and Phillips, in Chapter 1; Atkinson and Harley, Chapter 4; and Scheid, Chapter 26.

Monahan, John F., Numerical Methods of Statistics , Cambridge, UK: Cambridge University Press, 2001. Monahan provides advanced coverage of polynomial regression in Chapter 5.

Scheid, Francis, Numerical Analysis , New York: McGraw-Hill, 1988.

Woodford, C., and C. Phillips, Numerical Methods with Worked Examples , London: Chapman and Hall, 1997. Woodford and Phillips discuss polynomial regression in Section 3.4.2.


   
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Java Number Cruncher. The Java Programmer's Guide to Numerical Computing
Java Number Cruncher: The Java Programmers Guide to Numerical Computing
ISBN: 0130460419
EAN: 2147483647
Year: 2001
Pages: 141
Authors: Ronald Mak

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