Multiplication of Matrices With Different Sparseness Properties on Dynamically Reconfigurable Meshes. Issue 1 (1999)

• Record Type: Journal Article
• Authors: Middendorf, Martin; Schmeck, Hartmut; Schröder, Heiko; Turner, Gavin
• Is Part Of: VLSI design. Volume 9:Issue 1(1999)
• Page Start: 69
• Page End: 81
• Publication Date: 1999
• Subjects: Matrix multiplication -- sparse matrices -- reconfigurable arrays; Integrated circuits -- Very large scale integration -- Periodicals; 621.395
• DOI: 10.1155/1999/32697
• Languages: English
• ISSNs: 1065-514X

Abstract

Abstract : Algorithms for multiplying several types of sparse n x n -matrices on dynamically reconfigurable n x n -arrays are presented. For some classes of sparse matrices constant time algorithms are given, e.g., when the first matrix has at most kn elements in each column or in each row and the second matrix has at most kn nonzero elements in each row, where k is a constant. Moreover, O ( k n ) algorithms are obtained for the case that one matrix is a general sparse matrix with at most kn nonzero elements and the other matrix has at most k nonzero elements in every row or in every column. Also a lower bound of Ω(K n ) is proved for this and other cases which shows that the algorithms are close to the optimum.