KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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AffineInitialValue: Parameter-affine initial value for dynamical systems. More...
AffineInitialValue: Parameter-affine initial value for dynamical systems.
Extends the standard AffParamMatrix from the general package.
This class is part of the framework
Homepage
http://www.morepas.org/software/index.htmlDocumentation
http://www.morepas.org/software/kermor/index.htmlLicense
KerMor license conditions Definition at line 18 of file AffineInitialValue.m.
Public Member Functions | |
function x0 = | evaluate (colvec< double > mu) |
function x0 = | compose (colvec< double > mu) |
Call affine function evaluate. More... | |
function
projected = | project (V, W) |
Projects the affine parametric initial value into the subspace spanned by \(V,W\). More... | |
function copy = | clone () |
Public Member Functions inherited from dscomponents.AInitialValue | |
virtual function x0 = | evaluate (mu) |
Evaluates the initial value for a given mu. More... | |
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 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 () |
Additional Inherited Members | |
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 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... | |
Static Protected Member Functions inherited from general.AProjectable | |
static function obj = | loadobj (obj, from) |
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.AffineInitialValue.clone | ( | ) |
Definition at line 74 of file AffineInitialValue.m.
Call affine function evaluate.
mu | The currently used parameter \(\vmu\). Set to \([]\) if not used. |
Definition at line 46 of file AffineInitialValue.m.
Referenced by evaluate().
Definition at line 41 of file AffineInitialValue.m.
References compose().
function projected = dscomponents.AffineInitialValue.project | ( | V, | |
W | |||
) |
Projects the affine parametric initial value into the subspace spanned by \(V,W\).
Definition at line 58 of file AffineInitialValue.m.
References t.