Another source is Taylor Booth in his 1967 book " Sequential Machines and Automata Theory ".
2.
One of his fundamental works is " Sequential Machines and Automata Theory " ( 1967 ).
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All of the following are called " sequential machine models " to distinguish them from " parallel machine models ".
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His doctoral thesis was " A design algorithm for sequential machines and definability in monadic second-order arithmetic ."
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As such Householder is preferred for dense matrices on sequential machines, whilst Givens is preferred on sparse matrices, and / or parallel machines.
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There is no need to access external buses, main memory or internal caches during each operation as is the case with standard sequential machines.
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Van Emde Boas ( 1990 ) calls these three plus the pointer machine " sequential machine " models, to distinguish them from " parallel random-access machine " models.
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In the 1965 paper by Krohn and Rhodes, the proof of the theorem on the decomposition of finite automata ( or, equivalently sequential machines ) made extensive use of the algebraic semigroup structure.
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He deliberately chose the ` simplest'category of sequential machines or automata : a somewhat ironical vindication of the French philosopher Descartes'supposition that all animals are only elaborate machines or " mechanisms ".
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This problem can easily be solved in linear time on a sequential machine, but a parallel algorithm can do better : given processors, the problem can be solved in logarithmic time,, by the following pointer jumping algorithm:
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