Education
He taught mathematics while preparing for his Doctor of Philosophy, which was awarded at the University of Chicago in 1937.
( This text explores aspects of matrix theory that are mo...)
This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.
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He taught mathematics while preparing for his Doctor of Philosophy, which was awarded at the University of Chicago in 1937.
Married to Belle Householder (died 1975), children: John, Jackie and remarried 1984 to Heidi Householder, née Vogg. Householder spent his youth in Alabama. Receiving a Bachelor in philosophy from the Northwestern University of Evanston, Illinois in 1925, and an Master of Arts, also in philosophy, from Cornell University in 1927.
His thesis dealt with the topic of the calculus of variations.
After receiving his doctorate, Householder concentrated on the field of mathematical biology, working with several other researchers with Nicolas Rashevsky at the University of Chicago. In 1946, Householder joined the Mathematics Division of the Oak Ridge National Laboratory, where he was appointed chair in 1948.
lieutenant is during this period that his interests shift toward numerical analysis. In 1969 he left ORNL to become Professor of Mathematics at the University of Tennessee, where he eventually became chairman.
In 1974 he retired and went to live in Malibu, California.
Householder has contributed in different ways to the organisation of research. He was president of the Society for Industrial and Applied Mathematics (Society for Industrial and Applied Mathematics) and of the Association for Computing Machinery (Association for Computing Machinery (ACM)). He opened up his wide personal bibliography on numerical linear algebra in form of a KWIC index.
He also organized the important Gatlinburg Conferences, which are still held under the name Householder Symposia.
( This text explores aspects of matrix theory that are mo...)
He was a member of the redactional committees for Psychometrika, Numerische Mathematik, Linear Algebra and Its Applications, and has been editor in chief of the Society for Industrial and Applied Mathematics Journal on Numerical Analysis.