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Ipopt::SymTMatrix Class Reference

Class for symmetric matrices stored in triplet format. More...

#include <IpSymTMatrix.hpp>

+ Inheritance diagram for Ipopt::SymTMatrix:

Public Member Functions

Constructors / Destructors
 SymTMatrix (const SymTMatrixSpace *owner_space)
 Constructor, taking the corresponding matrix space.
 
 ~SymTMatrix ()
 Destructor.
 
Changing the Values.
void SetValues (const Number *Values)
 Set values of nonzero elements.
 
Accessor Methods
Index Nonzeros () const
 Number of nonzero entries.
 
const IndexIrows () const
 Obtain pointer to the internal Index array irn_ without the intention to change the matrix data.
 
const IndexJcols () const
 Obtain pointer to the internal Index array jcn_ without the intention to change the matrix data.
 
NumberValues ()
 Obtain pointer to the internal Number array values_ with the intention to change the matrix data.
 
const NumberValues () const
 Obtain pointer to the internal Number array values_ without the intention to change the matrix data.
 
Methods for providing copy of the matrix data
void FillStruct (Index *Irn, Index *Jcn) const
 Copy the nonzero structure into provided space.
 
void FillValues (Number *Values) const
 Copy the value data into provided space.
 
- Public Member Functions inherited from Ipopt::SymMatrix
SmartPtr< const SymMatrixSpaceOwnerSymMatrixSpace () const
 
 SymMatrix (const SymMatrixSpace *owner_space)
 Constructor, taking the owner_space.
 
virtual ~SymMatrix ()
 Destructor.
 
Index Dim () const
 Dimension of the matrix (number of rows and columns)
 
- Public Member Functions inherited from Ipopt::Matrix
bool HasValidNumbers () const
 Method for determining if all stored numbers are valid (i.e., no Inf or Nan).
 
SmartPtr< const MatrixSpaceOwnerSpace () const
 Return the owner MatrixSpace.
 
 Matrix (const MatrixSpace *owner_space)
 Constructor.
 
virtual ~Matrix ()
 Destructor.
 
void MultVector (Number alpha, const Vector &x, Number beta, Vector &y) const
 Matrix-vector multiply.
 
void TransMultVector (Number alpha, const Vector &x, Number beta, Vector &y) const
 Matrix(transpose) vector multiply.
 
void AddMSinvZ (Number alpha, const Vector &S, const Vector &Z, Vector &X) const
 X = X + alpha*(Matrix S^{-1} Z).
 
void SinvBlrmZMTdBr (Number alpha, const Vector &S, const Vector &R, const Vector &Z, const Vector &D, Vector &X) const
 X = S^{-1} (r + alpha*Z*M^Td).
 
Index NRows () const
 Number of rows.
 
Index NCols () const
 Number of columns.
 
void ComputeRowAMax (Vector &rows_norms, bool init=true) const
 Compute the max-norm of the rows in the matrix.
 
void ComputeColAMax (Vector &cols_norms, bool init=true) const
 Compute the max-norm of the columns in the matrix.
 
virtual void Print (SmartPtr< const Journalist > jnlst, EJournalLevel level, EJournalCategory category, const std::string &name, Index indent=0, const std::string &prefix="") const
 Print detailed information about the matrix.
 
virtual void Print (const Journalist &jnlst, EJournalLevel level, EJournalCategory category, const std::string &name, Index indent=0, const std::string &prefix="") const
 
- Public Member Functions inherited from Ipopt::TaggedObject
 TaggedObject ()
 Constructor.
 
virtual ~TaggedObject ()
 Destructor.
 
Tag GetTag () const
 Users of TaggedObjects call this to update their own internal tags every time they perform the expensive operation.
 
bool HasChanged (const Tag comparison_tag) const
 Users of TaggedObjects call this to check if the object HasChanged since they last updated their own internal tag.
 
- Public Member Functions inherited from Ipopt::ReferencedObject
 ReferencedObject ()
 
virtual ~ReferencedObject ()
 
Index ReferenceCount () const
 
void AddRef (const Referencer *referencer) const
 
void ReleaseRef (const Referencer *referencer) const
 
- Public Member Functions inherited from Ipopt::Subject
 Subject ()
 Default Constructor.
 
virtual ~Subject ()
 Destructor.
 
void AttachObserver (Observer::NotifyType notify_type, Observer *observer) const
 Attach the specified observer (i.e., begin receiving notifications).
 
void DetachObserver (Observer::NotifyType notify_type, Observer *observer) const
 Detach the specified observer (i.e., no longer receive notifications).
 

Protected Member Functions

Methods overloaded from matrix
virtual void MultVectorImpl (Number alpha, const Vector &x, Number beta, Vector &y) const
 Matrix-vector multiply.
 
virtual bool HasValidNumbersImpl () const
 Method for determining if all stored numbers are valid (i.e., no Inf or Nan).
 
virtual void ComputeRowAMaxImpl (Vector &rows_norms, bool init) const
 Compute the max-norm of the rows in the matrix.
 
virtual void PrintImpl (const Journalist &jnlst, EJournalLevel level, EJournalCategory category, const std::string &name, Index indent, const std::string &prefix) const
 Print detailed information about the matrix.
 
- Protected Member Functions inherited from Ipopt::SymMatrix
virtual void TransMultVectorImpl (Number alpha, const Vector &x, Number beta, Vector &y) const
 Implementation of TransMultVectorImpl, which calls MultVectorImpl.
 
virtual void ComputeColAMaxImpl (Vector &cols_norms, bool init) const
 Implementation of ComputeColAMaxImpl, which calls ComputeRowAMaxImpl.
 
- Protected Member Functions inherited from Ipopt::Matrix
virtual void AddMSinvZImpl (Number alpha, const Vector &S, const Vector &Z, Vector &X) const
 X = X + alpha*(Matrix S^{-1} Z).
 
virtual void SinvBlrmZMTdBrImpl (Number alpha, const Vector &S, const Vector &R, const Vector &Z, const Vector &D, Vector &X) const
 X = S^{-1} (r + alpha*Z*M^Td).
 
- Protected Member Functions inherited from Ipopt::TaggedObject
void ObjectChanged ()
 Objects derived from TaggedObject MUST call this method every time their internal state changes to update the internal tag for comparison.
 
- Protected Member Functions inherited from Ipopt::Subject
void Notify (Observer::NotifyType notify_type) const
 

Private Member Functions

Default Compiler Generated Methods

(Hidden to avoid implicit creation/calling).

These methods are not implemented and we do not want the compiler to implement them for us, so we declare them private and do not define them. This ensures that they will not be implicitly created/called.

 SymTMatrix ()
 Default Constructor.
 
 SymTMatrix (const SymTMatrix &)
 Copy Constructor.
 
void operator= (const SymTMatrix &)
 Default Assignment Operator.
 

Private Attributes

const SymTMatrixSpaceowner_space_
 Copy of the owner_space ptr as a SymTMatrixSpace instead of a MatrixSpace.
 
Numbervalues_
 Values of nonzeros.
 
bool initialized_
 Flag for Initialization.
 

Additional Inherited Members

- Public Types inherited from Ipopt::TaggedObject
typedef unsigned int Tag
 Type for the Tag values.
 

Detailed Description

Class for symmetric matrices stored in triplet format.

In the triplet format, the nonzeros elements of a symmetric matrix is stored in three arrays, Irn, Jcn, and Values, all of length Nonzeros. The first two arrays indicate the location of a non-zero element (as the row and column indices), and the last array stores the value at that location. Off-diagonal elements need to be stored only once since the matrix is symmetric. For example, the element \(a_{1,2}=a_{2,1}\) would be stored only once, either with Irn[i]=1 and Jcn[i]=2, or with Irn[i]=2 and Jcn[i]=1. Both representations are identical. If nonzero elements (or their symmetric counter part) are listed more than once, their values are added.

The structure of the nonzeros (i.e. the arrays Irn and Jcn) cannot be changed after the matrix can been initialized. Only the values of the nonzero elements can be modified.

Note that the first row and column of a matrix has index 1, not 0.

Definition at line 39 of file IpSymTMatrix.hpp.

Constructor & Destructor Documentation

◆ SymTMatrix() [1/3]

Ipopt::SymTMatrix::SymTMatrix ( const SymTMatrixSpace owner_space)

Constructor, taking the corresponding matrix space.

◆ ~SymTMatrix()

Ipopt::SymTMatrix::~SymTMatrix ( )

Destructor.

◆ SymTMatrix() [2/3]

Ipopt::SymTMatrix::SymTMatrix ( )
private

Default Constructor.

◆ SymTMatrix() [3/3]

Ipopt::SymTMatrix::SymTMatrix ( const SymTMatrix )
private

Copy Constructor.

Member Function Documentation

◆ SetValues()

void Ipopt::SymTMatrix::SetValues ( const Number Values)

Set values of nonzero elements.

The values of the nonzero elements is copied from the incoming Number array. Important: It is assume that the order of the values in Values corresponds to the one of Irn and Jcn given to the matrix space.

◆ Nonzeros()

Index Ipopt::SymTMatrix::Nonzeros ( ) const
inline

Number of nonzero entries.

Definition at line 259 of file IpSymTMatrix.hpp.

◆ Irows()

const Index * Ipopt::SymTMatrix::Irows ( ) const
inline

Obtain pointer to the internal Index array irn_ without the intention to change the matrix data.

Attention
This does not produce a copy, and lifetime is not guaranteed!

Definition at line 264 of file IpSymTMatrix.hpp.

◆ Jcols()

const Index * Ipopt::SymTMatrix::Jcols ( ) const
inline

Obtain pointer to the internal Index array jcn_ without the intention to change the matrix data.

Attention
This does not produce a copy, and lifetime is not guaranteed!

Definition at line 269 of file IpSymTMatrix.hpp.

◆ Values() [1/2]

Number * Ipopt::SymTMatrix::Values ( )

Obtain pointer to the internal Number array values_ with the intention to change the matrix data.

Attention
This does not produce a copy, and lifetime is not guaranteed!

◆ Values() [2/2]

const Number * Ipopt::SymTMatrix::Values ( ) const

Obtain pointer to the internal Number array values_ without the intention to change the matrix data.

Attention
This does not produce a copy, and lifetime is not guaranteed!

◆ FillStruct()

void Ipopt::SymTMatrix::FillStruct ( Index Irn,
Index Jcn 
) const

Copy the nonzero structure into provided space.

◆ FillValues()

void Ipopt::SymTMatrix::FillValues ( Number Values) const

Copy the value data into provided space.

◆ MultVectorImpl()

virtual void Ipopt::SymTMatrix::MultVectorImpl ( Number  alpha,
const Vector x,
Number  beta,
Vector y 
) const
protectedvirtual

Matrix-vector multiply.

Computes y = alpha * Matrix * x + beta * y.

Implements Ipopt::Matrix.

◆ HasValidNumbersImpl()

virtual bool Ipopt::SymTMatrix::HasValidNumbersImpl ( ) const
protectedvirtual

Method for determining if all stored numbers are valid (i.e., no Inf or Nan).

A default implementation always returning true is provided, but if possible it should be implemented.

Reimplemented from Ipopt::Matrix.

◆ ComputeRowAMaxImpl()

virtual void Ipopt::SymTMatrix::ComputeRowAMaxImpl ( Vector rows_norms,
bool  init 
) const
protectedvirtual

Compute the max-norm of the rows in the matrix.

The result is stored in rows_norms. The vector is assumed to be initialized if init is false.

Implements Ipopt::Matrix.

◆ PrintImpl()

virtual void Ipopt::SymTMatrix::PrintImpl ( const Journalist jnlst,
EJournalLevel  level,
EJournalCategory  category,
const std::string &  name,
Index  indent,
const std::string &  prefix 
) const
protectedvirtual

Print detailed information about the matrix.

Implements Ipopt::Matrix.

◆ operator=()

void Ipopt::SymTMatrix::operator= ( const SymTMatrix )
private

Default Assignment Operator.

Member Data Documentation

◆ owner_space_

const SymTMatrixSpace* Ipopt::SymTMatrix::owner_space_
private

Copy of the owner_space ptr as a SymTMatrixSpace instead of a MatrixSpace.

Definition at line 169 of file IpSymTMatrix.hpp.

◆ values_

Number* Ipopt::SymTMatrix::values_
private

Values of nonzeros.

Definition at line 172 of file IpSymTMatrix.hpp.

◆ initialized_

bool Ipopt::SymTMatrix::initialized_
private

Flag for Initialization.

Definition at line 175 of file IpSymTMatrix.hpp.


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