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OpenCL in Action: How to Accelerate Graphics and Computation by Matthew Scarpino

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Chapter 12. Matrices and QR decomposition

 

This chapter covers
  • Implementing matrix transposition and multiplication in OpenCL
  • Understanding and coding the Householder transformation
  • Factoring matrices with the QR decomposition algorithm

 

From physics and engineering to economics and sociology, there is no getting away from matrices. These mathematical structures can represent systems of equations, statistical data, DNA sequences, and the distribution of stresses within an object. Matrices have been used to structure data for centuries, and new applications appear on a regular basis.

Just as there are many uses for matrices, there are also many different ways to analyze them. But not all matrices are easy to work with. Mathematicians frequently ...

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