Abstract
| Original language | English |
|---|---|
| Title of host publication | Proceedings |
| Subtitle of host publication | 2012 14th International Conference on Modelling and Simulation |
| Editors | David Al-Dabass, Alessandra Orsoni, Richard Cant |
| Place of Publication | Piscataway, NJ |
| Publisher | IEEE |
| Pages | 101-106 |
| Number of pages | 6 |
| ISBN (Electronic) | 9780769546827 |
| ISBN (Print) | 9781467313667 |
| DOIs | |
| Publication status | Published - 2012 |
| Event | 14th International Conference on Computer Modelling and Simulation - Cambridge, United Kingdom Duration: 28 Mar 2012 → 30 Mar 2012 Conference number: 14 |
Conference
| Conference | 14th International Conference on Computer Modelling and Simulation |
|---|---|
| Abbreviated title | UKSim 2012 |
| Country | United Kingdom |
| City | Cambridge |
| Period | 28/03/12 → 30/03/12 |
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Matrix operations for the simulation and immediate reverse-engineering of time series data. / Idowu, Michael A.; Bown, James L.
Proceedings: 2012 14th International Conference on Modelling and Simulation. ed. / David Al-Dabass; Alessandra Orsoni; Richard Cant. Piscataway, NJ : IEEE , 2012. p. 101-106.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Matrix operations for the simulation and immediate reverse-engineering of time series data
AU - Idowu, Michael A.
AU - Bown, James L.
PY - 2012
Y1 - 2012
N2 - We present a new method for constructing and decomposing square matrices. This method, based on the computed parameterisation of their implied determinants and minors, operates on the product of factors of a new form of matrix decomposition. This method may be employed to build new matrices with fixed determinant(s). We demonstrate that this new approach is fundamentally well-connected to the Cholesky decomposition if applied on symmetric matrices. We also demonstrate that it is related to the LU decomposition method via a diagonal matrix multiplier. Also through this new method a direct relation between Cholesky decomposition and LU factorisation is shown. This method, presented for the first time, is useful for (re)constructing matrices with a predefined determinant and simulating inverse problems. The inference method introduced here also is based on new matrix manipulation techniques that we have developed for the identification of systems from reproducible time series data.
AB - We present a new method for constructing and decomposing square matrices. This method, based on the computed parameterisation of their implied determinants and minors, operates on the product of factors of a new form of matrix decomposition. This method may be employed to build new matrices with fixed determinant(s). We demonstrate that this new approach is fundamentally well-connected to the Cholesky decomposition if applied on symmetric matrices. We also demonstrate that it is related to the LU decomposition method via a diagonal matrix multiplier. Also through this new method a direct relation between Cholesky decomposition and LU factorisation is shown. This method, presented for the first time, is useful for (re)constructing matrices with a predefined determinant and simulating inverse problems. The inference method introduced here also is based on new matrix manipulation techniques that we have developed for the identification of systems from reproducible time series data.
U2 - 10.1109/UKSim.2012.24
DO - 10.1109/UKSim.2012.24
M3 - Conference contribution
SN - 9781467313667
SP - 101
EP - 106
BT - Proceedings
A2 - Al-Dabass, David
A2 - Orsoni, Alessandra
A2 - Cant, Richard
PB - IEEE
CY - Piscataway, NJ
ER -