The development of the internationally standardized language ALGOL
has made it possible to prepare procedures which can be used
without modification whenever a computer with an ALGOL translator
is available. Volume Ia in this series gave details of the
restricted version of ALGOL which is to be employed throughout the
Handbook, and volume Ib described its implementation on a computer.
Each of the subsequent volumes will be devoted to a presentation of
the basic algorithms in some specific areas of numerical analysis.
This is the first such volume and it was feIt that the topic Linear
Algebra was a natural choice, since the relevant algorithms are
perhaps the most widely used in numerical analysis and have the
advantage of forming a weil defined dass. The algorithms described
here fall into two main categories, associated with the solution of
linear systems and the algebraic eigenvalue problem respectively
and each set is preceded by an introductory chapter giving a
comparative assessment.
General
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