Program Committee for GATLINBURG VI:
F. L. Bauer, Munich (Executive Secretary)
M. Fiedler, Prague
G. H. Golub, Stanford
A. S. Householder, Malibu
G. I. Marchuk, Novosibirsk
J. Todd, Pasadena
R. S. Varga, Kent
J. H. Wilkinson, Teddington
This booklet contains copies of the manuscripts of the scheduled lectures,
that were received by the Executive Secretary prior to the beginning of the
Symposium. Each author reserves any copyright he may have. This is not a
publication in the technical sense; it can not be ordered from the
Bavarian Academy of Sciences, nor from the printer.
Munich, December 1974
F. L. Bauer
Executive Secretary
TABLE OF CONTENTS
Note: The pages of this booklet are not consistently numbered; every
manuscript starts with page 1.
AUTHOR TITLE NO OF PAGES
Bauer, F. L. Positivity and Norms 14
Ben-Israel, A. Optimality in Convex Programming 38
Birkhoff, G. Standardized Programs for Solving Ax=b 1
Gastinel, N. Tensor Rank for Toeplitz' Subspace of Matrices 12
Gautschi, W. Optimally Conditioned Vandermonde Matrices 19
Givens, W. Matrix Modules 2
Golub, G. The Block Lanczos Algorithm 1
Henrici, P. The Quotient-Difference Algorithm: Equimodular Poles 1
Kahan, W. M. Extensions & Applications of Krein's Extension Theorem 1
Marek, I. On Extrapolation of Linear Iterative Methods 16
Moler, C. Algorithms for Generalized Eigenvalue Prob1ems 1.
Marchuk, G. I. Stationary Iterative Methods for the Solution of 9
Kuznetsov Yu. A. Systems of Linear Equations with Singular Matrices.
Reinsch, Ch. Oscillation Matrices with Spline Smoothing 13
Robert, F. Chaotic Iterations for Non-linear Fixed-Point Equations in Several Variables 24
Schneider, H. Diagonal Similarity and Equivalence for Matrices over Groups with O 27
Schroder, J. Monotonicity and Inclusion 16
Van der Sluis, A. Stability of the Solutions of Linear Least
Squares Problems 23
Stewart, G. W. Computing the Schur Vectors of Large Non-Symmetric Matrices 27
Stoer, J. A Proposal for The Realization of Decomposition Methods in linear Programming 11
Taussky-Todd, O. A Matrix Approach to a Computational Problem of Gauss in Number Theory 1
Varga, R. S. Pade Rational Approximations of e^{-z} and applications 8
Young, D. Stopping Criteria and Adaptive Parameter Determination for Iterative Methods for Solving Large Linear Systems 21