Page 85 - Statistics and Data Analysis in Geology

Matrix Algebra

SELECTED READINGS

Anton, H., and C. Rorres, 1994, Elementary Linear Algebra, 7th ed., Applications
Version: John Wiley & Sons, Inc., New York, 800 pp. A computationally ori-
ented text on matrix algebra. Diskeffes contain examples and exercises.

Buchanan, J.L., and P.R. Turner, 1992, Numerical Methods and Analysis: McGraw-
Hill, Inc., New York, 751 pp.
Davis, P.J., 1984, The Mathematics ofMatrices: R.E. Krieger Publ. Co., Malabar, Fla.,
368 pp. Reprint of a classic. A highly readable text on matrix algebra with a
minimum of mathematicaljargon and a maximum of examples and applications.
Doveton, J.H., 1986, Log Analysis of Subsurface Geology: Concepts and Computer
Methods: John Wiley & Sons, Inc., New York, 273 pp. Chapter 6 discusses
matrix algebra techniques for resolving rock composition from well log responses,
including the Hutchinson Salt (file KANSALT: TXT) exercise.

Ferguson, J., 1988, Mathematics in Geology: Allen & Unwin Ltd., London, 299 pp.
Chapters 6 and 7 treat matrix algebra and its application to geological problems.

Gearhart-Owen, 1975, Formation Evaluation Data Handbook: Gerhard-Owen Indus-
tries, Inc., Fort Worth, Texas, 240 pp.

Golub, G.H., and C.F. Van Loan, 1996, Matrix Computations, 3Td ed.: Johns Hopkins
Univ. Press, Baltimore, Md., 694 pp.

Gould, P., 1967, On the geographic interpretation of eigenvalues: An initial explo-
ration: Trans. Inst. British Geographers, No. 42, p. 53-86. An intuitive look at
eigenvalues and vectors by geometric analogy. Part of this chapter is derived
from this excellent exposition, wrlffen originally for students.
Jackson, J.E., 1991, A User's Guide to Principal Components: John Wiley & Sons,
Inc., New York, 569 pp. Appendices A and B are a concise summary of matrix
algebra. Chapter 10 discusses singular value decomposition.

Jensen, J.A., and J.H. Rowland, 1975, Methods of Computation: The Linear Approach
to Numerical Analysis: Scott, Foresman and Co., Glenview, Ill., 303 pp.

Maron, M.J., and R.J. Lopez, 1991, Numerical Analysis-A Practical Approach, 37'd ed.:
PWS-Kent Publ. Co., Boston, Mass., 743 pp. Gives procedures and algorithms
for matrix operations, especially different methods for inversion, solution of simul-
taneous equations, and extraction of eigenvalues.

Ortega, J.M., 1990, Numerical Analysis, a Second Course: Society for Industrial and
Applied Mathematics, Philadelphia, Pa., 201 pp. A concise but complete text,
issued as a paperback reprint by SlAM to "foster beffer understanding of applied
mathematics."
Pettofrezzo, A. J., 1978, Matrices and Transformations: Dover Publications, Inc., New
York, 13 3 pp. This paperback reprint of a classic text covers the traditional ma-
terial for a one-semester matrix algebra course. lt is liberally sprinkled with worked
examples and problems.

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