Processing of linear systems of equations

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United States of America Patent

PATENT NO 9424232
APP PUB NO 20150242363A1
SERIAL NO

14708668

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Abstract

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A method for processing linear systems of equations and finding a nx1 vector x satisfying Ax=b where A is a symmetric, positive-definite nxn matrix corresponding to nxn predefined high-precision elements and b is an n1 vector corresponding to n predefined high-precision elements. A first iterative process generates n low-precision elements corresponding to an nx1 vector x1 satisfying A1x1=b1 where A1, b1 are elements in low precision. The elements are converted to high-precision data elements to obtain a current solution vector x. A second iterative process generates n low-precision data elements corresponding to an nx1 correction vector dependent on the difference between the vector b and the vector product Ax. Then there is produced from the n low-precision data elements of the correction vector respective high-precision data elements of an nx1 update vector u. The data elements of the current solution vector x are updated such that x=x±u.

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Patent Owner(s)

  • INTERNATIONAL BUSINESS MACHINES CORPORATION

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Bekas, Konstantinos Rueschlikon, CH 38 226
Curioni, Alessandro Rueschlikon, CH 33 332

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