Using a new notion of reducibility, we investigate, in a model of approximate parallel computation, the behaviour of several known reductions among important problems in linear algebra. We show that, although many such problems have been proved to be NC1 equivalent, when approximation is taken into account, new questions about their relative parallel-time complexity come up. More precisely, some known NC1 reduction algorithms can be extended with additional special care, whereas other reductions do not extend to the approximation model

Oracle Computations in Parallel Numerical Linear Algebra / B., Codenotti; Leoncini, Mauro; G., Resta. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - STAMPA. - 127:(1994), pp. 99-121.

Oracle Computations in Parallel Numerical Linear Algebra

LEONCINI, Mauro;
1994

Abstract

Using a new notion of reducibility, we investigate, in a model of approximate parallel computation, the behaviour of several known reductions among important problems in linear algebra. We show that, although many such problems have been proved to be NC1 equivalent, when approximation is taken into account, new questions about their relative parallel-time complexity come up. More precisely, some known NC1 reduction algorithms can be extended with additional special care, whereas other reductions do not extend to the approximation model
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99
121
Oracle Computations in Parallel Numerical Linear Algebra / B., Codenotti; Leoncini, Mauro; G., Resta. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - STAMPA. - 127:(1994), pp. 99-121.
B., Codenotti; Leoncini, Mauro; G., Resta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/454049
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