KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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error.lipfun.Base Class Referenceabstract

Base: More...

Detailed Description

Base:

Author
Daniel Wirtz
Date
2011-05-20
Change in 0.5:
(Daniel Wirtz, 2011-07-04) Moved all local Lipschitz functions to the package error.lipfun
New in 0.4:
(Daniel Wirtz, 2011-05-31) Implemented/inheriting ISimConstants and ICloneable.
New in 0.4:
(Daniel Wirtz, 2011-05-20) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels
Todo:
remove old ISimConstants interface implementation prepareConstants, at least rename it somehow

Definition at line 19 of file Base.m.

Public Member Functions

 Base (bellfunc)
 
virtual function ci = evaluate (di, Ct)
 Evaluates the local lipschitz estimation function. 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 ()
 
- Public Member Functions inherited from ICloneable
virtual function copy = clone (target)
 The interface method with returns a copy of the current class instance. More...
 

Protected Attributes

 bellfcn
 

Additional Inherited Members

- 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)
 

Constructor & Destructor Documentation

error.lipfun.Base.Base (   bellfunc)

Definition at line 55 of file Base.m.

References bellfcn, and KerMorObject.KerMorObject().

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Member Function Documentation

function ci = error.lipfun.Base.evaluate (   di,
  Ct 
)
pure virtual

Evaluates the local lipschitz estimation function.

Parameters
diThe distances \(d_i(t) = \no{Vz(t)-x_i}\) at time \(t\)
CtThe coarse error bound \(C(t)\). \(C\equiv\infty\) is allowed, too.

Implemented in error.lipfun.ImprovedLocalSecantLipschitz, error.lipfun.LocalGradientLipschitz, and error.lipfun.LocalSecantLipschitz.

Referenced by error.IterationCompLemmaEstimator.getBeta().

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Member Data Documentation


The documentation for this class was generated from the following file: