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On the Behavior of Floquet Exponents of a Kind of Periodic Evolution Problems

โœ Scribed by P. Kuchment

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
542 KB
Volume
109
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES

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For the k x k-matrix-valued version of Hill's equation it is shown that the dimension of the matrix needed to compute the Floquet exponents can be reduced from 2k to k. Also the existence of periodic solutions is equivalent to the non-invertibility of certain k x k-matrices.

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The upper bound on the exponent, |, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, the exponent of the algorithms known for the all pairs shortest path problem has stayed at three all these years even for t