Abstract
Iterative methods are almost 170 years old. The first iterative method for systems of linear equations is due to Carl Friedrich Gauß (the less correct spelling is: Gauss). His least squares method led him to a system of equations that was too large for the use of direct Gauß elimination. The iterative method described in „Supplementum theoriae combinationis observationum erroribus minime obnoxiae“ (1819–1822) today would be called the blockwise Gauß-Seidel method. The value that Gauß attributed to his iterative method can be seen in the excerpt from his letter of 1823 preceding the foreword of this book.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Hackbusch, W. (1994). Introduction. In: Iterative Solution of Large Sparse Systems of Equations. Applied Mathematical Sciences, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4288-8_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4288-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8724-7
Online ISBN: 978-1-4612-4288-8
eBook Packages: Springer Book Archive