This paper considers the multiplication of matrix A = (aik)n×n by vector b = (bk)n×l on the bidirectional linear systolic array (BLSA) comprised of p \_~ In/2] processing elements. To accomplish this matrix, A is partitioned into quasi-diagonal blocks. Each block contains p quasidiagonals. To avoid
Array size anomaly of problem-size independent systolic arrays for matrix-vector multiplication
✍ Scribed by Yen-Chun Lin
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 373 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0167-8191
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✦ Synopsis
Lin, Y-C_, Array size anomaly of problem-size independent systolic arrays for matrix-vector multiplication, Parallel Computing 17 (1991) 515-522_ A simple method for obtaining problem-size independent systolic arrays from a certain type of problem-size dependent systolic arrays is presented. The resulting array is fully fault-tolerant in the sense that a faulty processing element can be bypassed and the same problem of the original size can be solved_ Such an array may outperform another larger array of the same type under certain conditions; this phenomenon is called the array size anomaly. Matrix-vector multiplication is used as an example problem solved by the systolic arrays_ Two systolic arrays of different sizes for computing a given convolution are then derived and compared.
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