Exact minimization of large fixed polarity dual form of reed-muller functions
Journal Article
Yang, M., Xu, H., Wang, L. Y., Tong, J. R., & Almaini, A. E. A. (2007)
Exact minimization of large fixed polarity dual form of reed-muller functions. Solid-State and Integrated Circuit Technology, 1931-1933. https://doi.org/10.1109/ICSICT.2006.306532
Dual form of Reed-Muller (DFRM) expansions are implemented in OX/XNOR logic, which are based on the features of coincidence operation and are known as fixed polarity Canonical...
FCA interpretation of relation algebra.
Conference Proceeding
Priss, U. (2006)
FCA interpretation of relation algebra. https://doi.org/10.1007/11671404_17
This paper discusses an interpretation of relation algebra and fork algebra with respect to FCA contexts. In this case, "relation algebra" refers to the DeMorgan-Peirce-Schroe...
On a representation of vector continued fractions.
Journal Article
Roberts, D. E. (1999)
On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105(1-2), (453-466). doi:10.1016/S0377-0427(99)00034-5. ISSN 0377-0427
Vector Pade approximants to power series with vector coefficients may be calculated using the three-term recurrence relations of vector continued fractions
if formulated in th...
A vector Chebysev algorithm.
Journal Article
Roberts, D. (1998)
A vector Chebysev algorithm. Numerical Algorithms, 17(1/2), (33-50). doi:10.1023/A:1011633327892. ISSN 1017-1398
We consider polynomials orthogonal relative to a sequence of vectors and derive their recurrence relations within the framework of Clifford algebras. We state sufficient condi...
On a vector q-d algorithm.
Journal Article
Roberts, D. (1998)
On a vector q-d algorithm. Advances in computational mathematics, 8(3), (193-219). doi:10.1023/A:1018944213562. ISSN 1019-7168
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding ...
Vector continued fraction algorithms.
Book
Roberts, D. E. (1996)
Vector continued fraction algorithms. In R. Ablamowicz, P. Lounesto, & J. M. Parra (Eds.), Clifford algebras with numeric and symbolic computations, 111-119. BioMed Central. doi:10.1007/978-1-4615-8157-4_7
We consider the construction of rational approximations to given power series whose coefficients are vectors. The approximants are in the form of vector-valued continued fract...
On the algebraic foundations of the vector epsilon-algorithm.
Book
Roberts, D. E. (1995)
On the algebraic foundations of the vector epsilon-algorithm. In R. Ablamowicz, & P. Lounesto (Eds.), Clifford algebras and spinor structures: A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992), 343-361. Kluwer Academic
We review the Clifford algebraic foundations of versions of the vector epsilon-algorithm. This involves the formation of rational approximants to vector-valued functions defin...