Rai, Sesappa A (2010) Calculus for Bilinear and Translative Expansions of Certain Functions. International Journal of Computational Science and Mathematics, 2 (1). pp. 185-208. ISSN 0974-3189

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Abstract

This paper introduces the calculus for expanding certain bivariate functions in a bilinear form, especially, in a recursive fashion. Such an expansion is increasingly used in developing efficient algorithms with compressive representation for various computational problems involving, for example, Green’s function or a correlation function, at large sets of unequally space samplings points. The calculus is a unification, abstraction and simplification of the expansion techniques that have been used in many individual cases. The objective is to provide a systematic guidance in development of expansioncompression - based algorithms, and furthermore, to underlie a computer based platform for facilitating the development process.

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