KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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dscomponents.AffLinInputConv Class Reference

AffLinInputConv: Affine parametric input conversion matrix \(B(t,\mu)\). More...

Detailed Description

AffLinInputConv: Affine parametric input conversion matrix \(B(t,\mu)\).

This matrix has the structure \(B(t,\mu) = \sum\limits_{i=0}^Q \theta_i(t,\mu)B_i\).

Basically extends the general.AffParamMatrix and wraps it into the dscomponents.AInputConv interface.

See Also
general.AffParamMatrix
New in 0.5:
(Daniel Wirtz, 2011-07-04) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Definition at line 18 of file AffLinInputConv.m.

Public Member Functions

function B = evaluate (t, mu)
 Evaluates the input conversion matrix. More...
 
function  prepareSimulation (colvec< double > mu)
 
function
projected = 
project (V, W)
 Projects the affine parametric input conversion matrix B into the subspace spanned by \(V,W\). More...
 
function copy = clone ()
 
- Public Member Functions inherited from general.AffParamMatrix
function M = compose (t, mu)
 Composes the affine-linear combination of matrices for given time \(t\) and parameter \(\mu\). More...
 
function c = evalCoeffFun (double t,colvec< double > mu)
 
function copy = clone (copy)
 Creates a copy of this affine parametric matrix. More...
 
function  addMatrix (coeff_fun, mat)
 Adds a matrix with corresponding coefficient function to the affine parametric matrix. More...
 
function pr = mtimes (B)
 Implements the default multiplication method. More...
 
function diff = minus (B)
 Implements the default substraction method. More...
 
function transp = ctranspose ()
 Implements the transposition for affine parametric matrices. More...
 
function
dotprod = 
times (B)
 
function M = getMatrix (idx)
 Returns the \(i\)-th matrix of the AffParamMatrix. More...
 
function general.AffParamMatrix
target = 
project (matrix< double > V,matrix< double > W,general.AffParamMatrix target)
 Projects the affine parametric matrix using \(V\) and \(W\). More...
 
function [ n ,
m ] = 
size (dim)
 Implementation of ABlockedData.size. More...
 
function  clear ()
 
- 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...
 
function copy = clone (copy)
 The interface method with returns a copy of the current class instance. More...
 
- Public Member Functions inherited from dscomponents.AInputConv
function  prepareSimulation (colvec< double > mu)
 do nothing by default More...
 
virtual function B = evaluate (colvec< double > mu)
 Template method that evaluates the input conversion matrix \(B\) at the current time \(t\) and [optional] parameter \(\mu\). 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 Attributes

char CoeffClass = ""
 Export setting. Java class name for JKerMor model export. More...
 
- Public Attributes inherited from general.AffParamMatrix
integer N = 0
 The number of affine matrices / size of the linear combination. More...
 
 Matrices = "[]"
 The matrices for the affine function. More...
 
string funStr = {""}
 The function strings defining \(\theta_i(t,\mu)\) for the affine-linear combination of the matrices. 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...
 
- 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 dscomponents.AInputConv
logical TimeDependent = true
 Flag that indicates if the AInputConv is (truly) time-dependent. 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...
 

Static Protected Member Functions

static function obj = loadobj (obj, varargin)
 
- Static Protected Member Functions inherited from general.AProjectable
static function obj = loadobj (obj, from)
 
- Static Protected Member Functions inherited from dscomponents.AInputConv
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)
 

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)
 
- Protected Attributes inherited from general.AffParamMatrix
handle cfun = "[]"
 coefficient function handle as specified by funStr More...
 
rowvec< integerdims
 dimension of the matrices More...
 

Member Function Documentation

function copy = dscomponents.AffLinInputConv.clone ( )

Definition at line 122 of file AffLinInputConv.m.

References CoeffClass.

function B = dscomponents.AffLinInputConv.evaluate (   t,
  mu 
)

Evaluates the input conversion matrix.

For this case, it is simply calling compose of the superclass AffParamMatrix.

Parameters
tThe current time \(t\)
muThe current parameter vector \(\mu\)
Return values
BThe affine parametric matrix \(B(t,\mu)\).

Definition at line 76 of file AffLinInputConv.m.

References general.AffParamMatrix.compose(), and dscomponents.AInputConv.TimeDependent.

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static function obj = dscomponents.AffLinInputConv.loadobj (   obj,
  varargin 
)
staticprotected

Definition at line 131 of file AffLinInputConv.m.

function dscomponents.AffLinInputConv.prepareSimulation ( colvec< double mu)

Definition at line 97 of file AffLinInputConv.m.

References general.AffParamMatrix.compose().

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function projected = dscomponents.AffLinInputConv.project (   V,
  W 
)

Projects the affine parametric input conversion matrix B into the subspace spanned by \(V,W\).

Definition at line 105 of file AffLinInputConv.m.

References t.

Member Data Documentation

dscomponents.AffLinInputConv.CoeffClass = ""

Export setting. Java class name for JKerMor model export.

Set this value to the class inside your JKerMor source that implements the IAffineCoefficients interface for this core function.

In order for this to work the coefficient functions must equal the AffParamMatrix' coefficient functions both mathematically and in the order of entry.

Property class data:
Set only if the model is intended for JKerMor export.

Default: '

Note
This property has the MATLAB attribute SetObservable set to true.
Matlab documentation of property attributes.

Definition at line 45 of file AffLinInputConv.m.

Referenced by clone().


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