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2019•Journal of Siberian Federal University Mathematics & PhysicsOpen access

Hardware Architectures of the QR-Decomposition Based on a Givens Rotation Technique

Alexey V. Sokolovskiy, Е. А. Вейсов, Valery N. Tyapkin, D D Dmitriev

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Abstract

The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation

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The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation

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Available abstract

The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation

Key concepts: CORDIC, QR decomposition, Computer science, Decomposition, Rotation (mathematics), Parallel computing, Matrix decomposition, Computer hardware

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