Conical Systolic Array for Matrix Inversion
نویسندگان
چکیده
Matrices have been used in many analytical and simulation models and numerical solutions. Matrix operations have essential role in many scientific and engineering applications. One of the most time-consuming operations among matrix operations is matrix inversion. Many hardware designs and software algorithms have been proposed to reduce the time of computation. They will be more important for the large size matrix. In this paper a systolic array structure is proposed for matrix inversion, which is called Conical Systolic Array, CSA. Gaussian elimination algorithm is used in the CSA. Comparing previous designs, the number of processing elements, PEs, for CSA is 25% less than the previous design yet the total computation time is lower than the previous array.
منابع مشابه
A New Pipelined Systolic Array-Based Architecture for Matrix Inversion in FPGAs with Kalman Filter Case Study
A new pipelined systolic array-based (PSA) architecture for matrix inversion is proposed. The pipelined systolic array (PSA) architecture is suitable for FPGA implementations as it efficiently uses available resources of an FPGA. It is scalable for different matrix size and as such allows employing parameterisation that makes it suitable for customisation for application-specific needs. This ne...
متن کاملThe Algebraic Path Problem
This is a brief intro to the algebraic path problem, and much of this material is based on Rote’s excellent paper (Günter Rote: A Systolic Array Algorithm for the Algebraic Path Problem (Shortest Paths; Matrix Inversion), Computing, 34(3):191–219, 1985)
متن کاملSystolic Array Methodology for a Neural Model to Solve the Mixture Problem
In this chapter we present a robust method for determining and quantifying components in a composite spectrum; we assume that the patterns of the individual spectra are known in advance. The proposed method is supported by a linear recurrent neural network based on the Hopfield model (HRNN). The HRNN has very important characteristics in the implementation of lowcomplexity VLSI structures, sinc...
متن کاملFabrication of conical microneedles array using photolithography
Background and Aim: Microneedle technology has led to huge changes in the field of drug delivery medicine. Using microneedles, the drug can be injected locally, painlessly, and in very low and controlled doses with high precision. Local drug delivery through the skin with microneedles has many advantages over other methods of drug delivery. In this method, the drug does not enter the gastrointe...
متن کاملHigh-speed C-testable systolic array design for Galois-field inversion
Systolic architectures for inversion in Galois eld (GF (2)) are presented. The proposed inversion algorithm is a counter-free extended Euclidean algorithm, which results in simple circuit implementation for GF inversion. Additionally, the bit-parallel implementation proposed is shown to be C-testable. Testability and modularity make it suited to VLSI implementation.
متن کامل