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Efficiently ranking web pages via matrix index manipulation and improved caching

  • US 7,379,947 B2
  • Filed: 07/30/2004
  • Issued: 05/27/2008
  • Est. Priority Date: 07/30/2004
  • Status: Expired due to Fees
First Claim
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1. A computer-implemented method of ordering objects from a collection of interconnected objects, the interconnection of objects represented by a first matrix, the method comprising:

  • computing a second matrix relative to the first matrix;

    approximating a secondary eigenvector of the second matrix by selecting initial values for a first vector, and repeating the steps of;

    multiplying the second matrix by the first vector to obtain a second vector;

    centering the second vector, wherein centering the second vector comprises adding a fixed amount to each entry in the second vector till the average of the second vector'"'"'s entries is zero; and

    replacing the values of the first vector by the values of the second vector;

    until a termination condition is satisfied;

    ordering the objects relative to the values in the approximation to the secondary eigenvector; and

    storing the objects according to the ordering relative to the values in file approximation to the secondary eigenvector.

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