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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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LINEARKERNEL The simple scalar-product kernel. Detailed explanation goes here. More...
LINEARKERNEL The simple scalar-product kernel. Detailed explanation goes here.
Definition at line 18 of file LinearKernel.m.
Public Member Functions | |
| LinearKernel () | |
| function c = | getGlobalLipschitz () |
| Returns the global lipschitz constant of this kernel. More... | |
| function Nabla = | getNabla (colvec< double > x,matrix< double > y) |
| Partial derivatives of scalar product is simply the second argument vector. More... | |
| function K = | evaluate (colvec< double > x,matrix< double > y) |
| function copy = | clone () |
 Public Member Functions inherited from kernels.BaseKernel | |
| BaseKernel () | |
| function fcn = | getLipschitzFunction () |
| Method that allows error estimators to obtain a lipschitz constant estimation function from this kernel. More... | |
| function bool = | eq (B) |
| Checks if a kernel equals another kernel. More... | |
| function copy = | clone (copy) |
| The interface method with returns a copy of the current class instance. More... | |
| virtual function K = | evaluate (matrix< double > x,matrix< double > y) |
| Evaluation method for the current kernel. More... | |
| virtual function Nabla = | getNabla (x, y) |
| Computes the partial derivatives with respect to each component of the first argument. More... | |
| 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 () | |
Additional Inherited Members | |
| Public Attributes inherited from kernels.BaseKernel | |
| matrix< double > | G = 1 |
| The matrix \(\vG\) that induces the state space scalar product \(\spG{x}{y}\) and norm \(\noG{x-y}\) to use. More... | |
| matrix< double > | P = "[]" |
| Projection/selection matrix \(\vP\) for argument components. More... | |
| logical | IsRBF = false |
| Flag that determines if the current kernel is a radial basis function, i.e. its evaluation is of the form \(\K(x,y) = \phi(\noG{x-y})\) for some scalar function \(\phi\). More... | |
| logical | IsScProd = false |
| Flag that determines if the current kernel bases on scalar product evaluations, i.e. are of the form \(\K(x,y) = \phi(\spG{x}{y})\) for some scalar function \(\phi\). 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... | |
| 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) |
| 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) |
| Protected Attributes inherited from kernels.BaseKernel | |
| fG = 1 | |
| fP = "[]" | |
| kernels.LinearKernel.LinearKernel | ( | ) |
Definition at line 29 of file LinearKernel.m.
References kernels.BaseKernel.IsScProd.
| function copy = kernels.LinearKernel.clone | ( | ) |
Definition at line 67 of file LinearKernel.m.
Definition at line 52 of file LinearKernel.m.
References kernels.BaseKernel.fG, kernels.BaseKernel.fP, and t.
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virtual |
Returns the global lipschitz constant of this kernel.
Exprimental state as not implemented & checked for all kernels.
Implements kernels.BaseKernel.
Definition at line 34 of file LinearKernel.m.
Partial derivatives of scalar product is simply the second argument vector.
| x | The state variable vector \(\vx(t)\) |
| y | The output variable vector \(\vy(t) = \vC(t,\vmu)\vx(t),~t=0\ldots T\) (general notation) |
Definition at line 39 of file LinearKernel.m.
1.8.6 
