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Modified givens rotation for matrices with complex numbers

  • US 8,473,539 B1
  • Filed: 09/01/2009
  • Issued: 06/25/2013
  • Est. Priority Date: 09/01/2009
  • Status: Active Grant
First Claim
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1. A method for nulling a cell of a complex matrix, comprising:

  • obtaining the complex matrix as input to a processing unit;

    obtaining a modified Givens rotation matrix as input to the processing unit;

    multiplying the complex matrix with the modified Givens rotation matrix by the processing unit for the nulling of the cell of the complex matrix to provide a modified form thereof, the modified form comprising real numbers; and

    outputting the modified form by the processing unit;

    the modified Givens rotation matrix including complex numbers c*, c, −

    s, and s*, wherein the complex number s* is the complex conjugate of the complex number s, and wherein the complex number c* is the complex conjugate of the complex number c; and

    the complex numbers c and s being associated with complex numbers of the complex matrix including the cell to be nulled.

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