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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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This class is part of the framework
Homepage http://www.morepas.org/software/index.htmlDocumentation http://www.morepas.org/software/kermor/index.htmlLicense KerMor license conditions Definition at line 18 of file MatrixDEIM.m.
Public Member Functions | |
| function M = | evaluate (colvec< double > x,double t) |
| function M = | evaluateMulti (colvec< double > x,double t) |
| function | setSimilarityTransform (Qk) |
| function target = | project (V, unused1) |
| function copy = | clone () |
 Public Member Functions inherited from general.DEIM | |
| function | computeDEIM (dscomponents.ACompEvalCoreFun f,matrix< double > fxi) |
| Implementation of the DEIM algorithm. More... | |
| function fx = | evaluate (colvec< double > x,double t) |
| function fx = | evaluateMulti (colvec< double > x,double t,colvec< double > mu) |
| function J = | getStateJacobian (colvec< double > x,double t) |
| function pts = | getInterpolationPoints (matrix< double > u) |
| Computes the interpolation indices according to the DEIM algorithm. More... | |
| function err = | getEstimatedError (colvec< double > x,double t,colvec< double > mu) |
| function DEIM target = | project (matrix< double > V,matrix< double > W,DEIM target) |
| Pojects instance according to the projection biorthogonal matrices \(V,W\). More... | |
| function copy = | clone (copy) |
| The interface method with returns a copy of the current class instance. More... | |
| function | plotSummary (pm, context) |
| Public Member Functions inherited from KerMorObject | |
| KerMorObject () | |
| Constructs a new KerMor object. More... | |
| function | display () |
| disp(object2str(this)); More... | |
| function bool = | eq (B) |
| Checks equality of two KerMor objects. More... | |
| function bool = | ne (B) |
| Checks if two KerMorObjects are different. More... | |
| function cn = | getClassName () |
| Returns the simple class name of this object without packages. More... | |
| Public Member Functions inherited from DPCMObject | |
| DPCMObject () | |
| Creates a new DPCM object. More... | |
| DPCMObject () | |
| Public Member Functions inherited from general.AProjectable | |
| function handle target = | project (matrix< double > V,matrix< double > W,handle target) |
| Returns a NEW INSTANCE of the projected object that does not rely on data of the old one via references (everything must be copied to ensure separability of reduced(=projected) versions and full versions, unless. More... | |
Public Attributes | |
| NumRows | |
| The number of rows of the output matrices (information needed for reshape command of internal column-wise DEIM) More... | |
| matrix< double > | Qk = "[]" |
| The custom (partial) similarity transform matrix \(Q_k\) applied to the approximated matrices via \(Q_k^tM(x,t,\mu)Q_k\). More... | |
| Public Attributes inherited from general.DEIM | |
| integer | MaxOrder = 40 |
| The maximum order up to which the DEIM approximation should be computed. More... | |
| rowvec< integer > | Order |
| The actual order \(M\) for the current DEIM approximation. More... | |
| rowvec< double > | SingularValues = "[]" |
| The singular values returned by the SVD decomposition to compute the DEIM POD basis. More... | |
| matrix< double > | U |
| The U matrix for the current Order. More... | |
| matrix< double > | U_nonproj |
| If projection is applied, this contains the non-projected full \(d \times m\) matrix \(U_m(P_m^tU_m)^{-1}\) for use in subclasses. More... | |
| matrix< double > | Uerr1 |
| Some matrices for M+M' error estimation. More... | |
| Uerr2 | |
| M1 | |
| M2 | |
| dscomponents.ACompEvalCoreFun | f |
| The function which DEIM is applied to. More... | |
| rowvec< double > | Residuals |
| The maximum residuals obtained along the magic points computation. More... | |
| EVENT | OrderUpdated |
| Gets fired whenever this DEIM instance has updated it's order matrices. More... | |
| Public Attributes inherited from DPCMObject | |
| WorkspaceVariableName = "" | |
| The workspace variable name of this class. Optional. More... | |
| ID = "[]" | |
| An ID that allows to uniquely identify this DPCMObject (at least within the current MatLab session/context). More... | |
| PropertiesChanged = "[]" | |
| The Dictionary containing all the property settings as key/value pairs. More... | |
| Public Attributes inherited from handle | |
| addlistener | |
| Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More... | |
| notify | |
| Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More... | |
| delete | |
| Handle object destructor method that is called when the object's lifecycle ends. More... | |
| disp | |
| Handle object disp method which is called by the display method. See the MATLAB disp function. More... | |
| display | |
| Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More... | |
| findobj | |
| Finds objects matching the specified conditions from the input array of handle objects. More... | |
| findprop | |
| Returns a meta.property objects associated with the specified property name. More... | |
| fields | |
| Returns a cell array of string containing the names of public properties. More... | |
| fieldnames | |
| Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More... | |
| isvalid | |
| Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More... | |
| eq | |
| Relational functions example. See details for more information. More... | |
| transpose | |
| Transposes the elements of the handle object array. More... | |
| permute | |
| Rearranges the dimensions of the handle object array. See the MATLAB permute function. More... | |
| reshape | |
| hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More... | |
| sort | |
| ort the handle objects in any array in ascending or descending order. More... | |
| Public Attributes inherited from general.AProjectable | |
| V | |
| The \(V\) matrix of the biorthogonal pair \(V,W\). More... | |
| W | |
| The \(W\) matrix of the biorthogonal pair \(V,W\). More... | |
Protected Member Functions | |
| function | updateOrderData () |
| Protected Member Functions inherited from general.DEIM | |
| function | updateOrderData () |
| Update approximation order as specified in fOrder. As a consequence some matrices have to be recalculated. More... | |
| Protected Member Functions inherited from KerMorObject | |
| function | checkType (obj, type) |
| Object typechecker. More... | |
| Protected Member Functions inherited from DPCMObject | |
| function | registerProps (varargin) |
| Call this method at any class that defines DPCM observed properties. More... | |
| function | registerProps (varargin) |
Additional Inherited Members | |
| Static Protected Member Functions inherited from general.DEIM | |
| static function obj = | loadobj (obj, varargin) |
| Static Protected Member Functions inherited from DPCMObject | |
| static function obj = | loadobj (obj, from) |
| Re-register any registered change listeners! More... | |
| static function obj = | loadobj (obj, from) |
| Static Protected Member Functions inherited from general.AProjectable | |
| static function obj = | loadobj (obj, from) |
| Protected Attributes inherited from general.DEIM | |
| matrix< double > | u |
| The full approximation base. More... | |
| rowvec< double > | pts |
| Interpolation points. More... | |
| function copy = general.MatrixDEIM.clone | ( | ) |
Definition at line 111 of file MatrixDEIM.m.
Referenced by error.DEIMEstimator.clone(), and project().
Definition at line 74 of file MatrixDEIM.m.
References handle.reshape.
Referenced by error.DEIMEstimator.getBeta().
Definition at line 80 of file MatrixDEIM.m.
References handle.reshape.
| function target = general.MatrixDEIM.project | ( | V, | |
| unused1 | |||
| ) |
Definition at line 106 of file MatrixDEIM.m.
References clone().
Referenced by error.DEIMEstimator.prepareForReducedModel().
| function general.MatrixDEIM.setSimilarityTransform | ( | Qk | ) |
Definition at line 86 of file MatrixDEIM.m.
References NumRows, Qk, handle.reshape, t, general.DEIM.U, and general.DEIM.U_nonproj.
Referenced by updateOrderData().
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protected |
Definition at line 122 of file MatrixDEIM.m.
References general.DEIM.f, dscomponents.ACoreFun.JSparsityPattern, general.DEIM.M1, general.DEIM.M2, Qk, setSimilarityTransform(), MatUtils.toSparse(), and general.DEIM.U_nonproj.
| general.MatrixDEIM.NumRows |
The number of rows of the output matrices (information needed for reshape command of internal column-wise DEIM)
Definition at line 40 of file MatrixDEIM.m.
Referenced by clone(), and setSimilarityTransform().
| general.MatrixDEIM.Qk = "[]" |
The custom (partial) similarity transform matrix \(Q_k\) applied to the approximated matrices via \(Q_k^tM(x,t,\mu)Q_k\).
The matrix has to be orthonormal if set.
Default: []
SetAccess = Private, GetAccess = Public Definition at line 51 of file MatrixDEIM.m.
Referenced by clone(), setSimilarityTransform(), and updateOrderData().
1.8.6