Title :
Multivariable polynomial processing — Applications to interpolation
Author :
Krishnamurthy ; Venkateswaran, H.
Author_Institution :
Dept. of Appl. Math., Indian Inst. of Sci., Bangalore, India
Abstract :
A data-structure suitable for multivariable polynomial processing is introduced. Using this data-structure, arithmetic algorithms are described for addition, subtraction and multiplication of multivariable polynomials; also algorithms are described for forming the inner product and tensor product of vectors, whose components are multivariable polynomials. Application of these algorithms. for multivariable cardinal spline approximation is described in detail.
Keywords :
arithmetic; interpolation; polynomials; tensors; vectors; arithmetic algorithms; data structure; inner product; interpolation; multivariable polynomial processing; tensor product; vectors; Finite element methods; Interpolation; Polynomials; Spline; Tensile stress; Vectors;
Conference_Titel :
Computer Arithmetic (ARITH), 1978 IEEE 4th Symposium on
Conference_Location :
Santa Monica, CA
DOI :
10.1109/ARITH.1978.6155785
