The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
May. 18, 1999
Filed:
Aug. 28, 1997
Alan Jerome Hoffman, Greenwich, CT (US);
William Robert Pulleyblank, Cronton-on-Hudson, NY (US);
John Anthony Tomlin, Sunnyvale, CA (US);
International Business Machines Corporation, Armonk, NY (US);
Abstract
A method, system, and data structure are provided which facilitate matrix multiplication with advantageous computational efficiency. The invention, as variously implemented as a processing system, method, or data structure in a recording medium such as a memory, has applicability to numerous fields, including linear programming, where a great deal of multiplication of large, sparse matrices is performed. The method of the invention includes the steps of creating a first submatrix block from non-zero terms of a sparse matrix, such that all of the terms within a given column of the submatrix block are form a respective column of the sparse matrix, creating a corresponding second index submatrix block of the same dimensions as the first block, such that each term of the second block identifies the position of the corresponding term of the first block within the sparse matrix, in terms of a row and column index. Finally, the method includes reordering terms of the first and second blocks correspondingly, as necessary to produce a final configuration within the first and second blocks such that all of the row indices within any given row of the second block are distinct.