Background
Branham, Richard Lacy was born on March 19, 1943 in Baltimore. Son of Richard Lacy and Mary Magdalene (Mrkonjich) Branham.
(This monograph is concerned with overdetermined systems, ...)
This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction. It is not a text on statistics, numerical methods, or matrix cOmputations, although elements of all three, especially the latter, enter into the discussion. The reader I have in mind is a scientist or engineer who has gathered data that he or she wants to model by a mathematical system, perhaps linear, perhaps nonlinear, and solve to obtain the best estimates, in some sense of the term "best," of various parameters. Because the calculations will be performed on a digital computer, the first chapter discusses floating-point numbers and their effect on mathematical operations. The chapter ends with some methods for accurately summing floating-point numbers, an operation frequently required in numerical work and one often done by the worst possible method, recursive summation. Chapter 2 gives a brief review of linear algebra and includes vector and matrix norms and condition numbers of matrices and linear systems. ' Chapter 3 presents some ideas for manipulating sparse matrices. Frequently, time or memory can be saved by use of sparse matrix techniques. The subject is extensive and the chapter is only indicative of the many techniques available. Although Chapter 3 is somewhat extraneous to the rest of the book, Chapter 5, on linear least squares, makes use of the compressed storage mode for the symmetric matrices discussed in Chapter 3.
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Branham, Richard Lacy was born on March 19, 1943 in Baltimore. Son of Richard Lacy and Mary Magdalene (Mrkonjich) Branham.
Master of Arts, Harvard University, 1968; Doctor of Philosophy, Case Western Reserve U., 1977.
Astronomer, United States Naval Observatory, Washington, 1968-1982; resident director, Yale-Columbia Southern Observatory, Barreal, San Juan., Argentina, 1970-1972; director computing, head mathematics area, substitute director, Regional Center for Science and Technology Research, Mendoza, Argentina, 1982-1997; director informatics, Argentine Institute for Snow and Ice Studies, since 1998. Visiting professor U. La Plata, 1989, U. San Juan, Argentina, 1989, 90, 92, 96, U. Cuyo, Argentina, 1992, 94, 97, 98. Summer assistant National Aeronautics and Space Administration, Washington, 1967.
(This monograph is concerned with overdetermined systems, ...)
Founding member Argentine Center for the Investigation and Refutation of Pseudosci., Buenos Aires, 1990, Foundation for Advancement of Knowledge, Mendoza, 1993. Member International Astronomical Union, American Astronomical Society, Association for Computing Machinery, Argentine Astronomical Association, Foundation for the Advancement of Knowledge, Phi Beta Kappa, Pi Mu Epsilon.
Married Rosa Guadalupe Palma, July 15, 1972. 1 child, Maria Teresita.