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:
Nov. 13, 2007
Filed:
May. 28, 2003
G. William Walster, Cupertino, CA (US);
Eldon R. Hansen, Los Altos, CA (US);
G. William Walster, Cupertino, CA (US);
Eldon R. Hansen, Los Altos, CA (US);
Sun Microsystems, Inc., Santa Clara, CA (US);
Abstract
One embodiment of the present invention provides a system that solves an overdetermined system of interval linear equations. During operation, the system receives a representation of the overdetermined system of interval linear equations Ax=b, wherein A is a matrix with m rows corresponding to m equations, and n columns corresponding to n variables, and wherein x includes n variable components, b includes m scalar components, and m>n. Next, the system performs a Gaussian Elimination operation to transform Ax=b into the form wherein T is a square upper triangular matrix of order n, u is a vector with n components, v is a vector with m−n components, and W is a matrix with m−n rows and n columns, wherein W is zero except in the last column, which is represented as a column vector z with m−n components. Next, the system performs an interval intersection operation based on the equations zx=v(i=1, . . . , m−n) and Tx=uto solve for x. If xis not the empty interval, the system performs a back substitution operation using xand Tx=u to solve for the remaining components (x, . . . , x) of x.