Error correction codes defined over real-number field have been studied and recognized as useful in many applications. However, most real-number codes in literature are quite suspect in their numerical stability. In this paper, we introduce a class of real-number codes based on random generator matrices over real-number fields. Codes over complex-number field are also discussed. Experiment results demonstrate our codes are numerically much more stable than existing codes in literature. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Chen, Z., & Dongarra, J. (2005). Numerically stable real number codes based on random matrices. In Lecture Notes in Computer Science (Vol. 3514, pp. 115–122). Springer Verlag. https://doi.org/10.1007/11428831_15
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