KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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AffLinInputConv: Affine parametric input conversion matrix \(B(t,\mu)\). More...
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.
This class is part of the framework
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KerMor license conditions 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< integer > | dims |
dimension of the matrices More... | |
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.
t | The current time \(t\) |
mu | The current parameter vector \(\mu\) |
B | The 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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staticprotected |
Definition at line 131 of file AffLinInputConv.m.
Definition at line 97 of file AffLinInputConv.m.
References general.AffParamMatrix.compose().
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.
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.
Default: '
SetObservable
set to true. Definition at line 45 of file AffLinInputConv.m.
Referenced by clone().