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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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Class that supports orthonormalization of vectors. More...
Class that supports orthonormalization of vectors.
At the orthonormalization process a matrix G can be defined that defines the scalar product with respect to which the vectors are orthonormalized.
Original algorithm code from Bernard Haasdonk, rbmatlab. See rbmatlabroot/general/vecmat/orthonormalize*.m
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 Orthonormalizer.m.
Public Member Functions | |
| function onvec = | orthonormalize (vec) |
| Performs orthogonalization using the given column vectors vec and the scalar product induced by the matrix G. 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 () | |
Static Public Member Functions | |
| static function res = | test_Orthogonalization () |
Public Attributes | |
| G = 1 | |
| The scalar product matrix \(<x,x> := x^tGx\). More... | |
| Epsilon = 1e-7 | |
| Tolerance for zero columns at orthogonalization. More... | |
| Algorithm = "gs" | |
| The orthogonalization algorithm used. 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... | |
| 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) |
| function onvec = general.Orthonormalizer.orthonormalize | ( | vec | ) |
Performs orthogonalization using the given column vectors vec and the scalar product induced by the matrix G.
| vec | A matrix containing the column vectors to orthogonalize. |
Definition at line 86 of file Orthonormalizer.m.
References Algorithm.
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static |
Definition at line 256 of file Orthonormalizer.m.
| general.Orthonormalizer.Algorithm = "gs" |
The orthogonalization algorithm used.
Default: "gs"
Default: "gs"
Definition at line 66 of file Orthonormalizer.m.
Referenced by orthonormalize().
| general.Orthonormalizer.Epsilon = 1e-7 |
Tolerance for zero columns at orthogonalization.
Default: 1e-7
Definition at line 57 of file Orthonormalizer.m.
| general.Orthonormalizer.G = 1 |
The scalar product matrix \(<x,x> := x^tGx\).
Defaults to \(I_d\)
Default: 1
Definition at line 46 of file Orthonormalizer.m.
1.8.6