Mercurial > repos > public > sbplib
annotate +time/+expint/Magnus_mp.m~ @ 698:0122cbe2e6d3 feature/optim
Add hamiltonian
author | Ylva Rydin <ylva.rydin@telia.com> |
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date | Fri, 13 Oct 2017 09:16:33 +0200 |
parents | 8434063ed162 |
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513
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Added arnoldi krylov subspace approximation
Ylva Rydin <ylva.rydin@telia.com>
parents:
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1 % Takes one time step of size k using the magnus midpoinr |
bc39bb984d88
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
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2 % starting from v_0 and where the function F(v,t) gives the |
bc39bb984d88
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
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3 % time derivatives. |
bc39bb984d88
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4 function v = Magnus_mp(v,D, t , k,matrixexp,tol) |
bc39bb984d88
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Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
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5 |
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6 if isa(D,'function_handle') |
697
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1 objective optimization finished
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parents:
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7 Omega = D(t +k/2); |
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8 else |
697
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1 objective optimization finished
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9 Omega = D; |
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parents:
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10 end |
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11 |
697
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1 objective optimization finished
Ylva Rydin <ylva.rydin@telia.com>
parents:
513
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12 switch matrixexp |
8434063ed162
1 objective optimization finished
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13 case 'expm' |
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14 v = expm(k*Omega)*v; |
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1 objective optimization finished
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15 case 'Arnoldi' |
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16 [v, i] = time.expint.expm_Arnoldi(-Omega,v,k,tol,1000); |
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1 objective optimization finished
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parents:
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17 otherwise |
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1 objective optimization finished
Ylva Rydin <ylva.rydin@telia.com>
parents:
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18 error('No such matrix exponential evaluation') |
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1 objective optimization finished
Ylva Rydin <ylva.rydin@telia.com>
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19 |
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1 objective optimization finished
Ylva Rydin <ylva.rydin@telia.com>
parents:
513
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20 end |
513
bc39bb984d88
Added arnoldi krylov subspace approximation
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
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21 end |