Evaluating matrix power series with the Cayley-Hamilton theorem
The Cayley-Hamilton theorem is used to implement an iterative process for the efficient numerical computation of matrix power series and their differentials. In addition to straight-forward applications in lattice gauge theory simulations e.g. to reduce the computational cost of smearing, the method...
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| creator | Rindlisbacher, Tobias |
| description | The Cayley-Hamilton theorem is used to implement an iterative process for the
efficient numerical computation of matrix power series and their differentials.
In addition to straight-forward applications in lattice gauge theory
simulations e.g. to reduce the computational cost of smearing, the method can
also be used to simplify the evaluation of SU(N) one-link integrals or the
computation of SU(N) matrix logarithms. |
| doi_str_mv | 10.48550/arxiv.2404.07704 |
| format | Article |
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efficient numerical computation of matrix power series and their differentials.
In addition to straight-forward applications in lattice gauge theory
simulations e.g. to reduce the computational cost of smearing, the method can
also be used to simplify the evaluation of SU(N) one-link integrals or the
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efficient numerical computation of matrix power series and their differentials.
In addition to straight-forward applications in lattice gauge theory
simulations e.g. to reduce the computational cost of smearing, the method can
also be used to simplify the evaluation of SU(N) one-link integrals or the
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efficient numerical computation of matrix power series and their differentials.
In addition to straight-forward applications in lattice gauge theory
simulations e.g. to reduce the computational cost of smearing, the method can
also be used to simplify the evaluation of SU(N) one-link integrals or the
computation of SU(N) matrix logarithms.</abstract><doi>10.48550/arxiv.2404.07704</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Lattice |
| title | Evaluating matrix power series with the Cayley-Hamilton theorem |
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