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1 | /* | ||
2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
5 | |||
6 | This file is part of SLEPc. | ||
7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
9 | */ | ||
10 | /* | ||
11 | Simple default routines for common NEP operations | ||
12 | */ | ||
13 | |||
14 | #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/ | ||
15 | |||
16 | /*@ | ||
17 | NEPSetWorkVecs - Sets a number of work vectors into a NEP object | ||
18 | |||
19 | Collective | ||
20 | |||
21 | Input Parameters: | ||
22 | + nep - nonlinear eigensolver context | ||
23 | - nw - number of work vectors to allocate | ||
24 | |||
25 | Developer Notes: | ||
26 | This is SLEPC_EXTERN because it may be required by user plugin NEP | ||
27 | implementations. | ||
28 | |||
29 | Level: developer | ||
30 | |||
31 | .seealso: NEPSetUp() | ||
32 | @*/ | ||
33 | 7068 | PetscErrorCode NEPSetWorkVecs(NEP nep,PetscInt nw) | |
34 | { | ||
35 | 7068 | Vec t; | |
36 | |||
37 |
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7068 | PetscFunctionBegin; |
38 |
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7068 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
39 |
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7068 | PetscValidLogicalCollectiveInt(nep,nw,2); |
40 |
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7068 | PetscCheck(nw>0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"nw must be > 0: nw = %" PetscInt_FMT,nw); |
41 |
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7068 | if (nep->nwork < nw) { |
42 |
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1981 | PetscCall(VecDestroyVecs(nep->nwork,&nep->work)); |
43 | 1981 | nep->nwork = nw; | |
44 |
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1981 | PetscCall(BVGetColumn(nep->V,0,&t)); |
45 |
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1981 | PetscCall(VecDuplicateVecs(t,nw,&nep->work)); |
46 |
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1981 | PetscCall(BVRestoreColumn(nep->V,0,&t)); |
47 | } | ||
48 |
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1380 | PetscFunctionReturn(PETSC_SUCCESS); |
49 | } | ||
50 | |||
51 | /* | ||
52 | NEPGetDefaultShift - Return the value of sigma to start the nonlinear iteration. | ||
53 | */ | ||
54 | 744 | PetscErrorCode NEPGetDefaultShift(NEP nep,PetscScalar *sigma) | |
55 | { | ||
56 |
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744 | PetscFunctionBegin; |
57 |
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744 | PetscAssertPointer(sigma,2); |
58 |
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744 | switch (nep->which) { |
59 | ✗ | case NEP_LARGEST_MAGNITUDE: | |
60 | case NEP_LARGEST_IMAGINARY: | ||
61 | case NEP_ALL: | ||
62 | case NEP_WHICH_USER: | ||
63 | ✗ | *sigma = 1.0; /* arbitrary value */ | |
64 | ✗ | break; | |
65 | ✗ | case NEP_SMALLEST_MAGNITUDE: | |
66 | case NEP_SMALLEST_IMAGINARY: | ||
67 | ✗ | *sigma = 0.0; | |
68 | ✗ | break; | |
69 | ✗ | case NEP_LARGEST_REAL: | |
70 | ✗ | *sigma = PETSC_MAX_REAL; | |
71 | ✗ | break; | |
72 | ✗ | case NEP_SMALLEST_REAL: | |
73 | ✗ | *sigma = PETSC_MIN_REAL; | |
74 | ✗ | break; | |
75 | 744 | case NEP_TARGET_MAGNITUDE: | |
76 | case NEP_TARGET_REAL: | ||
77 | case NEP_TARGET_IMAGINARY: | ||
78 | 744 | *sigma = nep->target; | |
79 | 744 | break; | |
80 | } | ||
81 |
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744 | PetscFunctionReturn(PETSC_SUCCESS); |
82 | } | ||
83 | |||
84 | /* | ||
85 | NEPConvergedRelative - Checks convergence relative to the eigenvalue. | ||
86 | */ | ||
87 | 10283 | PetscErrorCode NEPConvergedRelative(NEP nep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
88 | { | ||
89 | 10283 | PetscReal w; | |
90 | |||
91 |
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10283 | PetscFunctionBegin; |
92 | 10283 | w = SlepcAbsEigenvalue(eigr,eigi); | |
93 |
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10283 | *errest = (w!=0.0)? res/w: PETSC_MAX_REAL; |
94 |
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10283 | PetscFunctionReturn(PETSC_SUCCESS); |
95 | } | ||
96 | |||
97 | /* | ||
98 | NEPConvergedAbsolute - Checks convergence absolutely. | ||
99 | */ | ||
100 | 137 | PetscErrorCode NEPConvergedAbsolute(NEP nep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
101 | { | ||
102 |
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137 | PetscFunctionBegin; |
103 | 137 | *errest = res; | |
104 |
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137 | PetscFunctionReturn(PETSC_SUCCESS); |
105 | } | ||
106 | |||
107 | /* | ||
108 | NEPConvergedNorm - Checks convergence relative to the matrix norms. | ||
109 | */ | ||
110 | 60 | PetscErrorCode NEPConvergedNorm(NEP nep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
111 | { | ||
112 | 60 | PetscScalar s; | |
113 | 60 | PetscReal w=0.0; | |
114 | 60 | PetscInt j; | |
115 | 60 | PetscBool flg; | |
116 | |||
117 |
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60 | PetscFunctionBegin; |
118 |
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60 | if (nep->fui!=NEP_USER_INTERFACE_SPLIT) { |
119 | ✗ | PetscCall(NEPComputeFunction(nep,eigr,nep->function,nep->function)); | |
120 | ✗ | PetscCall(MatHasOperation(nep->function,MATOP_NORM,&flg)); | |
121 | ✗ | PetscCheck(flg,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_WRONG,"The computation of backward errors requires a matrix norm operation"); | |
122 | ✗ | PetscCall(MatNorm(nep->function,NORM_INFINITY,&w)); | |
123 | } else { | ||
124 | /* initialization of matrix norms */ | ||
125 |
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60 | if (!nep->nrma[0]) { |
126 |
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30 | for (j=0;j<nep->nt;j++) { |
127 |
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20 | PetscCall(MatHasOperation(nep->A[j],MATOP_NORM,&flg)); |
128 |
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20 | PetscCheck(flg,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_WRONG,"The convergence test related to the matrix norms requires a matrix norm operation"); |
129 |
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20 | PetscCall(MatNorm(nep->A[j],NORM_INFINITY,&nep->nrma[j])); |
130 | } | ||
131 | } | ||
132 |
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180 | for (j=0;j<nep->nt;j++) { |
133 |
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120 | PetscCall(FNEvaluateFunction(nep->f[j],eigr,&s)); |
134 | 120 | w = w + nep->nrma[j]*PetscAbsScalar(s); | |
135 | } | ||
136 | } | ||
137 | 60 | *errest = res/w; | |
138 |
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60 | PetscFunctionReturn(PETSC_SUCCESS); |
139 | } | ||
140 | |||
141 | /*@C | ||
142 | NEPStoppingBasic - Default routine to determine whether the outer eigensolver | ||
143 | iteration must be stopped. | ||
144 | |||
145 | Collective | ||
146 | |||
147 | Input Parameters: | ||
148 | + nep - nonlinear eigensolver context obtained from NEPCreate() | ||
149 | . its - current number of iterations | ||
150 | . max_it - maximum number of iterations | ||
151 | . nconv - number of currently converged eigenpairs | ||
152 | . nev - number of requested eigenpairs | ||
153 | - ctx - context (not used here) | ||
154 | |||
155 | Output Parameter: | ||
156 | . reason - result of the stopping test | ||
157 | |||
158 | Notes: | ||
159 | A positive value of reason indicates that the iteration has finished successfully | ||
160 | (converged), and a negative value indicates an error condition (diverged). If | ||
161 | the iteration needs to be continued, reason must be set to NEP_CONVERGED_ITERATING | ||
162 | (zero). | ||
163 | |||
164 | NEPStoppingBasic() will stop if all requested eigenvalues are converged, or if | ||
165 | the maximum number of iterations has been reached. | ||
166 | |||
167 | Use NEPSetStoppingTest() to provide your own test instead of using this one. | ||
168 | |||
169 | Level: advanced | ||
170 | |||
171 | .seealso: NEPSetStoppingTest(), NEPConvergedReason, NEPGetConvergedReason() | ||
172 | @*/ | ||
173 | 8223 | PetscErrorCode NEPStoppingBasic(NEP nep,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,NEPConvergedReason *reason,void *ctx) | |
174 | { | ||
175 |
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8223 | PetscFunctionBegin; |
176 | 8223 | *reason = NEP_CONVERGED_ITERATING; | |
177 |
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8223 | if (nconv >= nev) { |
178 |
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998 | PetscCall(PetscInfo(nep,"Nonlinear eigensolver finished successfully: %" PetscInt_FMT " eigenpairs converged at iteration %" PetscInt_FMT "\n",nconv,its)); |
179 | 998 | *reason = NEP_CONVERGED_TOL; | |
180 |
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7225 | } else if (its >= max_it) { |
181 | ✗ | *reason = NEP_DIVERGED_ITS; | |
182 | ✗ | PetscCall(PetscInfo(nep,"Nonlinear eigensolver iteration reached maximum number of iterations (%" PetscInt_FMT ")\n",its)); | |
183 | } | ||
184 |
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1575 | PetscFunctionReturn(PETSC_SUCCESS); |
185 | } | ||
186 | |||
187 | 948 | PetscErrorCode NEPComputeVectors_Schur(NEP nep) | |
188 | { | ||
189 | 948 | Mat Z; | |
190 | |||
191 |
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948 | PetscFunctionBegin; |
192 |
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948 | PetscCall(DSVectors(nep->ds,DS_MAT_X,NULL,NULL)); |
193 |
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948 | PetscCall(DSGetMat(nep->ds,DS_MAT_X,&Z)); |
194 |
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948 | PetscCall(BVMultInPlace(nep->V,Z,0,nep->nconv)); |
195 |
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948 | PetscCall(DSRestoreMat(nep->ds,DS_MAT_X,&Z)); |
196 |
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948 | PetscCall(BVNormalize(nep->V,nep->eigi)); |
197 |
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177 | PetscFunctionReturn(PETSC_SUCCESS); |
198 | } | ||
199 |