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Fix five citation keys in 15a.md that do not match the page's reference list #141

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Fix five citation keys in 15a.md that do not match the page's reference list #141

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12 changes: 6 additions & 6 deletions constants/15a.md
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Expand Up @@ -21,14 +21,14 @@ We define $C\_{15a}$ to be the matrix multiplication exponent $\omega$, the smal
| $2.4785$ | [S1987] | Introduces laser method. |
| $2.375477$ | [CW1990] | Introduces Coppersmith-Winograd tensors. |
| $2.41$ | [CKSU2005] | Uses an alternative group-theoretic method. |
| $2.373689703$ | [S2010, DS2013] | This and subsequent improvements up to [L2014] modify and optimize the framework of Coppersmith-Winograd to analyze higher powers of the tensor. |
| $2.373689703$ | [S2010, DS2013] | This and subsequent improvements up to [LG2014] modify and optimize the framework of Coppersmith-Winograd to analyze higher powers of the tensor. |
| $2.372873$ | [V2012, V2014] | |
| $2.373$ | [Z2012] | |
| $2.3728639$ | [L2014] | |
| $2.3728639$ | [LG2014] | |
| $2.3728596$ | [AV2020] | Improved analysis of the laser method. |
| $2.371866$ | [DWZ23] | This and subsequent improvements introduce and optimize an asymmetric modification of the laser method. |
| $2.371552$ | [WXXZ24] | |
| $2.371339$ | [ADWXXZ25] | |
| $2.371866$ | [DWZ2022] | This and subsequent improvements introduce and optimize an asymmetric modification of the laser method. |
| $2.371552$ | [VXXZ2023] | |
| $2.371339$ | [ADVXXZ2024] | |

## Known lower bounds

Expand All @@ -50,7 +50,7 @@ We define $C\_{15a}$ to be the matrix multiplication exponent $\omega$, the smal
- [S1969] Strassen, V. *Gaussian elimination is not optimal.* Numerische Mathematik **13** (1969), 354–356.
- [P1978] Pan, V. Ya. *Strassen's algorithm is not optimal: Trilinear technique of aggregating, uniting and canceling for constructing fast algorithms for matrix operations.* In FOCS 1978, 166–176.
- [P1979] Pan, V. Ya. *Field extension and trilinear aggregating, uniting and canceling for the acceleration of matrix multiplication.* In FOCS 1979, 28–38.
- [BCRL79] Bini, D.; Capovani, M.; Romani, F.; Lotti, G. $O(n^{2.7799})$ complexity for $n \times n$ approximate matrix multiplication. Information Processing Lett. **8** (1979), 234–235.
- [BCRL1979] Bini, D.; Capovani, M.; Romani, F.; Lotti, G. $O(n^{2.7799})$ complexity for $n \times n$ approximate matrix multiplication. Information Processing Lett. **8** (1979), 234–235.
- [B1980] Bini, D. *Relations between exact and approximate bilinear algorithms. Applications.* Calcolo **17** (1980), 87–97.
- [P1980] Pan, V. Ya. *New fast algorithms for matrix operations.* SIAM J. Computing **9** (1980), 321–342.
- [S1981] Schönhage, A. *Partial and total matrix multiplication.* SIAM J. Computing **10** (1981), 434–455.
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