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dc.contributor.authorStanica, Pantelimon
dc.date.accessioned2014-02-26T19:17:27Z
dc.date.available2014-02-26T19:17:27Z
dc.date.issued2002-01-20
dc.identifier.urihttp://hdl.handle.net/10945/39166
dc.description.abstractWe prove that powers of 4-netted matries (the entries satisfy a four-term recurrence daij = aai-Ij+Bai-ij+yaij-1) preserve this property of nettedness, that is the entries of the e-th power satisfy {equation} where the coefficients are all instances of tha same sequence, {equation}. Also, we find a matrix Qn(a,b) and a vector v, such that Qn(a,b)2 -v acts as a shifting on the general second-order recurrence sequence with parameters a,b. It generalizes the known property {equation}. We use it to prove a few interesting identities. In the last section we prove some results about congruences satisfied by the matrix Qn(a,b).en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.titleNetted matricesen_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School, Monterey, California
dc.contributor.departmentApplied Mathematics
dc.subject.authorbinomial coefficientsen_US
dc.subject.authormatricesen_US
dc.subject.authorsequencesen_US
dc.subject.authorcongruencesen_US


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