KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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error.lipfun.ImprovedLocalSecantLipschitz Class Reference

ImprovedLocalSecantLipschitz: More...

Detailed Description

ImprovedLocalSecantLipschitz:

Author
Daniel Wirtz
Date
2011-05-20
Change in 0.4:
(Daniel Wirtz, 2011-06-07) Moved the ModifiedNewton methods from this class to kernels.BellFunction as they are more appropriate at that place.
New in 0.4:
(Daniel Wirtz, 2011-05-31) Added new prepareConstants init function from Base.
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

Definition at line 19 of file ImprovedLocalSecantLipschitz.m.

Public Member Functions

 ImprovedLocalSecantLipschitz (bellfcn)
 
function copy = clone ()
 
function  prepareConstants ()
 nothing to do here! More...
 
function ci = evaluate (di, C)
 Evaluates the local lipschitz estimation function. More...
 
function  precompMaxSecants (maxDistance, num)
 
- Public Member Functions inherited from error.lipfun.Base
 Base (bellfunc)
 
- 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...
 

Public Attributes

 UseCachedSecants = false
 
 precomp = "[]"
 
- 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...
 

Additional Inherited Members

- 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 error.lipfun.Base
 bellfcn
 

Constructor & Destructor Documentation

error.lipfun.ImprovedLocalSecantLipschitz.ImprovedLocalSecantLipschitz (   bellfcn)

Definition at line 71 of file ImprovedLocalSecantLipschitz.m.

References DPCMObject.registerProps().

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Member Function Documentation

function copy = error.lipfun.ImprovedLocalSecantLipschitz.clone ( )

Definition at line 77 of file ImprovedLocalSecantLipschitz.m.

References error.lipfun.Base.bellfcn, and UseCachedSecants.

function ci = error.lipfun.ImprovedLocalSecantLipschitz.evaluate (   di,
  Ct 
)
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.

Implements error.lipfun.Base.

Definition at line 92 of file ImprovedLocalSecantLipschitz.m.

References error.lipfun.Base.bellfcn, and UseCachedSecants.

function error.lipfun.ImprovedLocalSecantLipschitz.precompMaxSecants (   maxDistance,
  num 
)

Definition at line 137 of file ImprovedLocalSecantLipschitz.m.

References KerMor.App(), error.lipfun.Base.bellfcn, precomp, t, and UseCachedSecants.

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function error.lipfun.ImprovedLocalSecantLipschitz.prepareConstants ( )

nothing to do here!

Definition at line 84 of file ImprovedLocalSecantLipschitz.m.

Member Data Documentation

error.lipfun.ImprovedLocalSecantLipschitz.precomp = "[]"

Definition at line 65 of file ImprovedLocalSecantLipschitz.m.

Referenced by precompMaxSecants().

error.lipfun.ImprovedLocalSecantLipschitz.UseCachedSecants = false
Property class optional:
Todo:
make docs, make dependent and re-generate if set to true when not used..
Note
This property has the MATLAB attribute SetObservable set to true.
Matlab documentation of property attributes.
Default: false

Definition at line 45 of file ImprovedLocalSecantLipschitz.m.

Referenced by clone(), evaluate(), and precompMaxSecants().


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