Volume 9, Issue 2
Vector-matrix Multiplication in Ternary Optimal Computer

Y. Jin, X. Wang, J. Peng, M. Li, Z. Shen & S. Ou-Yang

Int. J. Numer. Anal. Mod., 9 (2012), pp. 401-409

Published online: 2012-09

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  • Abstract
This paper proposes a new means to complete the optical vector-matrix multiplication (OVMM). The OVMM is implemented on a novel optical computing architecture, ternary optical computer (TOC) by using modified signed-digit (MSD) number system. In addition, this study realizes optical addition in three steps, independent of the length of the operands, by four transformations in MSD, and discuses the multiplication of two MSD numbers in detail. A preliminary experimentation about the OVMM is performed on TOC. It illustrates that the proposed method for OVMM is feasible and correct.
  • Keywords

Parallel modified signed-digit no-carry addition basic operating unit partial sum

  • AMS Subject Headings

65Y05 65Y10 68Q10 68W10

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-401, author = {Y. Jin, X. Wang, J. Peng, M. Li, Z. Shen and S. Ou-Yang}, title = {Vector-matrix Multiplication in Ternary Optimal Computer}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {2}, pages = {401--409}, abstract = {This paper proposes a new means to complete the optical vector-matrix multiplication (OVMM). The OVMM is implemented on a novel optical computing architecture, ternary optical computer (TOC) by using modified signed-digit (MSD) number system. In addition, this study realizes optical addition in three steps, independent of the length of the operands, by four transformations in MSD, and discuses the multiplication of two MSD numbers in detail. A preliminary experimentation about the OVMM is performed on TOC. It illustrates that the proposed method for OVMM is feasible and correct.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/637.html} }
TY - JOUR T1 - Vector-matrix Multiplication in Ternary Optimal Computer AU - Y. Jin, X. Wang, J. Peng, M. Li, Z. Shen & S. Ou-Yang JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 401 EP - 409 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/637.html KW - Parallel KW - modified signed-digit KW - no-carry addition KW - basic operating unit KW - partial sum AB - This paper proposes a new means to complete the optical vector-matrix multiplication (OVMM). The OVMM is implemented on a novel optical computing architecture, ternary optical computer (TOC) by using modified signed-digit (MSD) number system. In addition, this study realizes optical addition in three steps, independent of the length of the operands, by four transformations in MSD, and discuses the multiplication of two MSD numbers in detail. A preliminary experimentation about the OVMM is performed on TOC. It illustrates that the proposed method for OVMM is feasible and correct.
Y. Jin, X. Wang, J. Peng, M. Li, Z. Shen & S. Ou-Yang. (1970). Vector-matrix Multiplication in Ternary Optimal Computer. International Journal of Numerical Analysis and Modeling. 9 (2). 401-409. doi:
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