linear product

(definition)

Definition: For two vectors X and Y, and with respect to two suitable operations ⊗ and ⊕ is a vector Z=Z₀ Z₁ … Z_m+n where Z_k=⊕_i+j=kX_i ⊗ Y_j (k=0, … , m+n).

Note: From Algorithms and Theory of Computation Handbook, page 13-17, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A

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Entry modified 17 December 2004.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "linear product", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/linearprodct.html