Multiplication
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Problem Description
Multiplication is one of the four elementary mathematical operations of arithmetic; with the others being addition; subtraction and division.
Bounds Chart
Step Chart
Improvement Table
| Complexity Classes | Algorithm Paper Links | Lower Bounds Paper Links |
|---|---|---|
| Exp/Factorial | ||
| Polynomial > 3 | ||
| Cubic | ||
| Quadratic | Karatsuba Algorithm (1962)
[ Long Multiplication (1940)] |
|
| nlogn | Harvey; Hoeven (2019) | |
| Linear | ||
| logn |