# Class List

Here are the classes, structs, unions and interfaces with brief descriptions:

Ipopt::AdaptiveMuUpdate | Non-monotone mu update
Ipopt::AlgorithmBuilder | Builder to create a complete IpoptAlg object
Ipopt::AlgorithmStrategyObject | This is the base class for all algorithm strategy objects
Ipopt::AmplOptionsList::AmplOption | Ampl Option class, contains name, type and description for an AMPL option
Ipopt::AmplOptionsList | Class for storing a number of AMPL options that should be registered to the AMPL Solver library interface
Ipopt::AmplSuffixHandler |
Ipopt::AmplTNLP | Ampl Interface
Ipopt::AugRestoSystemSolver | Class that converts the an augmented system with compound restoration pieces into a smaller "pivoted" system to be solved with an existing AugSystemSolver
Ipopt::AugSystemSolver | Base class for Solver for the augmented system
Ipopt::BacktrackingLineSearch | General implementation of a backtracking line search
Ipopt::BacktrackingLSAcceptor | Base class for backtracking line search acceptors
Ipopt::CachedResults< T > | Cache Priority Enum
CallbackFunctions |
Ipopt::CGPenaltyCq | Class for all Chen-Goldfarb penalty method specific calculated quantities
Ipopt::CGPenaltyData | Class to organize all the additional data required by the Chen-Goldfarb penalty function algorithm
Ipopt::CGPenaltyLSAcceptor | Line search acceptor, based on the Chen-Goldfarb penalty function approach
Ipopt::CGPerturbationHandler | Class for handling the perturbation factors delta_x, delta_s, delta_c, and delta_d in the primal dual system
Ipopt::CGSearchDirCalculator | Implementation of the search direction calculator that computes the Chen-Goldfarb step for the current barrier and penalty parameter
Ipopt::CompoundMatrix | Class for Matrices consisting of other matrices
Ipopt::CompoundMatrixSpace | This is the matrix space for CompoundMatrix
Ipopt::CompoundSymMatrix | Class for symmetric matrices consisting of other matrices
Ipopt::CompoundSymMatrixSpace | This is the matrix space for CompoundSymMatrix
Ipopt::CompoundVector | Class of Vectors consisting of other vectors
Ipopt::CompoundVectorSpace | This vectors space is the vector space for CompoundVector
Ipopt::ConvergenceCheck | Base class for checking the algorithm termination criteria
Ipopt::DefaultIterateInitializer | Class implementing the default initialization procedure (based on user options) for the iterates
Ipopt::DenseGenMatrix | Class for dense general matrices
Ipopt::DenseGenMatrixSpace | This is the matrix space for DenseGenMatrix
Ipopt::DenseGenSchurDriver |
Ipopt::DenseSymMatrix | Class for dense symetrix matrices
Ipopt::DenseSymMatrixSpace | This is the matrix space for DenseSymMatrix
Ipopt::DenseVector | Dense Vector Implementation
Ipopt::DenseVectorSpace | This vectors space is the vector space for DenseVector
Ipopt::DependentResult< T > | Templated class which stores one entry for the CachedResult class
Ipopt::DiagMatrix | Class for diagonal matrices
Ipopt::DiagMatrixSpace | This is the matrix space for DiagMatrix
Ipopt::EqMultiplierCalculator | Base Class for objects that compute estimates for the equality constraint multipliers y_c and y_d
Ipopt::EquilibrationScaling | This class does problem scaling by setting the scaling parameters based on the maximum of the gradient at the user provided initial point
Ipopt::ExactHessianUpdater | Implementation of the HessianUpdater for the use of exact second derivatives
Ipopt::ExpandedMultiVectorMatrix | Class for Matrices with few rows that consists of Vectors, together with a premultiplied Expansion matrix
Ipopt::ExpandedMultiVectorMatrixSpace | This is the matrix space for ExpandedMultiVectorMatrix
Ipopt::ExpansionMatrix | Class for expansion/projection matrices
Ipopt::ExpansionMatrixSpace | This is the matrix space for ExpansionMatrix
Ipopt::FileJournal | FileJournal class
Ipopt::Filter | Class for the filter
Ipopt::FilterEntry | Class for one filter entry
Ipopt::FilterLSAcceptor | Filter line search
Ipopt::GenAugSystemSolver | Solver for the augmented system using GenKKTSolverInterfaces
Ipopt::GenKKTSolverInterface | Base class for interfaces to symmetric indefinite linear solvers for generic matrices
Ipopt::GenTMatrix | Class for general matrices stored in triplet format
Ipopt::GenTMatrixSpace | This is the matrix space for a GenTMatrix with fixed sparsity structure
Ipopt::GradientScaling | This class does problem scaling by setting the scaling parameters based on the maximum of the gradient at the user provided initial point
Ipopt::HessianUpdater | Abstract base class for objects responsible for updating the Hessian information
org::coinor::examples::HS071 | Java example for interfacing with IPOPT
HS071_NLP | C++ Example NLP for interfacing a problem with IPOPT
Ipopt::IdentityMatrix | Class for Matrices which are multiples of the identity matrix
Ipopt::IdentityMatrixSpace | This is the matrix space for IdentityMatrix
Ipopt::IndexPCalculator |
Ipopt::IndexSchurData |
Ipopt::InexactAlgorithmBuilder | Builder to create a complete IpoptAlg object for the inexact step computation version
Ipopt::InexactCq | Class for all Chen-Goldfarb penalty method specific calculated quantities
Ipopt::InexactData | Class to organize all the additional data required by the Chen-Goldfarb penalty function algorithm
Ipopt::InexactDoglegNormalStep | Compute the normal step using a dogleg approach
Ipopt::InexactLSAcceptor | Penalty function line search for the inexact step algorithm version
Ipopt::InexactNewtonNormalStep | Compute the "Newton" normal step from the (slack-scaled) augmented system
Ipopt::InexactNormalStepCalculator | Base class for computing the normal step for the inexact step calculation algorithm
Ipopt::InexactNormalTerminationTester | This class implements the termination tests for the primal-dual system
Ipopt::InexactPDSolver | This is the implemetation of the Primal-Dual System, allowing the usage of an inexact linear solver
Ipopt::InexactPDTerminationTester | This class implements the termination tests for the primal-dual system
Ipopt::InexactSearchDirCalculator | Implementation of the search direction calculator that computes the search direction using iterative linear solvers
Ipopt::InexactTSymScalingMethod | Class for the method for computing scaling factors for symmetric matrices in triplet format, specifically for the inexaxct algorithm
org::coinor::Ipopt | A Java Native Interface for the Ipopt optimization solver
Ipopt::IpoptAdditionalCq | Base class for additional calculated quantities that is special to a particular type of algorithm, such as the CG penalty function, or using iterative linear solvers
Ipopt::IpoptAdditionalData | Base class for additional data that is special to a particular type of algorithm, such as the CG penalty function, or using iterative linear solvers
Ipopt::IpoptAlgorithm | The main ipopt algorithm class
Ipopt::IpoptApplication | This is the main application class for making calls to Ipopt
Ipopt::IpoptCalculatedQuantities | Class for all IPOPT specific calculated quantities
Ipopt::IpoptData | Class to organize all the data required by the algorithm
Ipopt::IpoptException | This is the base class for all exceptions
Ipopt::IpoptNLP | This is the abstract base class for classes that map the traditional NLP into something that is more useful by Ipopt
IpoptOptions |
IpoptRJournal |
IpoptRNLP |
Iterate |
Ipopt::IterateInitializer | Base class for all methods for initializing the iterates
Ipopt::IteratesVector | Specialized CompoundVector class specifically for the algorithm iterates
Ipopt::IteratesVectorSpace | Vector Space for the IteratesVector class
Ipopt::IterationOutput | Base class for objects that do the output summary per iteration
Ipopt::IterativePardisoSolverInterface | Interface to the linear solver Pardiso, derived from SparseSymLinearSolverInterface
Ipopt::IterativeSolverTerminationTester | This base class is for the termination tests for the iterative linear solver in the inexact version of Ipopt
Ipopt::IterativeWsmpSolverInterface | Interface to the linear solver WISMP, derived from SparseSymLinearSolverInterface
Ipopt::Journal | Journal class (part of the Journalist implementation
Ipopt::Journalist | Class responsible for all message output
Ipopt::LeastSquareMultipliers | Class for calculator for the least-square equality constraint multipliers
Ipopt::LimMemQuasiNewtonUpdater | Implementation of the HessianUpdater for limit-memory quasi-Newton approximation of the Lagrangian Hessian
Ipopt::LineSearch | Base class for line search objects
Ipopt::LoqoMuOracle | Implementation of the LOQO formula for computing the barrier parameter
Ipopt::LowRankAugSystemSolver | Solver for the augmented system with LowRankUpdateSymMatrix Hessian matrices
Ipopt::LowRankSSAugSystemSolver | Solver for the augmented system with LowRankUpdateSymMatrix Hessian matrices
Ipopt::LowRankUpdateSymMatrix | Class for symmetric matrices, represented as low-rank updates
Ipopt::LowRankUpdateSymMatrixSpace | This is the matrix space for LowRankUpdateSymMatrix
LuksanVlcek1 | Implementation of Example 5.1 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
org::coinor::examples::scalable::LuksanVlcek1 | Implementation of Example 5.1 from "Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization" by L
LuksanVlcek2 | Implementation of Example 5.2 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
LuksanVlcek3 | Implementation of Example 5.3 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
LuksanVlcek4 | Implementation of Example 5.4 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
LuksanVlcek5 | Implementation of Example 5.5 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
LuksanVlcek6 | Implementation of Example 5.6 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
LuksanVlcek7 | Implementation of Example 5.7 from Sparse and Parially Separable Test Problems for Unconstrained and Equality Constrained Optimization by L
Ipopt::Ma27TSolverInterface | Interface to the symmetric linear solver MA27, derived from SparseSymLinearSolverInterface
Ipopt::Ma28TDependencyDetector | Base class for all derived algorithms for detecting linearly dependent rows in the constraint Jacobian
Ipopt::Ma57TSolverInterface | Interface to the symmetric linear solver MA57, derived from SparseSymLinearSolverInterface
ma77_control_d |
ma77_info_d |
Ipopt::Ma77SolverInterface | Base class for interfaces to symmetric indefinite linear solvers for sparse matrices
ma86_control_d |
ma86_info_d |
Ipopt::Ma86SolverInterface | Base class for interfaces to symmetric indefinite linear solvers for sparse matrices
ma97_control_d |
ma97_info |
Ipopt::Ma97SolverInterface | Base class for interfaces to symmetric indefinite linear solvers for sparse matrices
MatlabException |
MatlabFunctionHandle |
MatlabInfo |
Ipopt::MatlabJournal |
MatlabProgram |
Ipopt::Matrix | Matrix Base Class
Ipopt::MatrixSpace | MatrixSpace base class, corresponding to the Matrix base class
Ipopt::Mc19TSymScalingMethod | Class for the method for computing scaling factors for symmetric matrices in triplet format, using MC19
mc68_control |
mc68_info |
Ipopt::Measurement |
Ipopt::MetadataMeasurement |
Ipopt::MinC_1NrmRestorationPhase | Restoration Phase that minimizes the 1-norm of the constraint violation - using the interior point method (Ipopt)
MittelmannBndryCntrlDiri1 | Class implementating Example 1
MittelmannBndryCntrlDiri2 | Class implementating Example 2
MittelmannBndryCntrlDiri3 | Class implementating Example 3
MittelmannBndryCntrlDiri3D | Class implementating Example 1
MittelmannBndryCntrlDiri3D_27 | Class implementating case with convex quadratic penalty function
MittelmannBndryCntrlDiri3D_27BT | Class implementating case with nonconvex Beaton-Tukey like penalty function
MittelmannBndryCntrlDiri3Dsin | Class implementating Example 1
MittelmannBndryCntrlDiri4 | Class implementating Example 4
MittelmannBndryCntrlDiriBase | Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannBndryCntrlDiriBase3D | Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannBndryCntrlDiriBase3D_27 | Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannBndryCntrlDiriBase3Dsin | Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannBndryCntrlNeum1 | Class implementating Example 5
MittelmannBndryCntrlNeum2 | Class implementating Example 6
MittelmannBndryCntrlNeum3 | Class implementating Example 7
MittelmannBndryCntrlNeum4 | Class implementating Example 8
MittelmannBndryCntrlNeumBase | Base class for boundary control problems with Neumann boundary conditions, as formulated by Hans Mittelmann as Examples 5-8 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannDistCntrlDiri1 | Class implementating Example 1
MittelmannDistCntrlDiri2 | Class implementating Example 2
MittelmannDistCntrlDiri3 | Class implementating Example 3
MittelmannDistCntrlDiri3a |
MittelmannDistCntrlDiriBase | Base class for distributed control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-3 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannDistCntrlNeumA1 | Class implementating Example 4
MittelmannDistCntrlNeumA2 | Class implementating Example 5
MittelmannDistCntrlNeumA3 | Class implementating Example 6
MittelmannDistCntrlNeumABase | Base class for distributed control problems with homogeneous Neumann boundary conditions, as formulated by Hans Mittelmann as Examples 4-6 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannDistCntrlNeumB1 | Class implementating Example 4
MittelmannDistCntrlNeumB2 | Class implementating Example 5
MittelmannDistCntrlNeumB3 | Class implementating Example 6
MittelmannDistCntrlNeumBBase | Base class for distributed control problems with homogeneous Neumann boundary conditions, as formulated by Hans Mittelmann as Examples 4-6 in Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints
MittelmannParaCntrl5_1 |
MittelmannParaCntrl5_2_1 |
MittelmannParaCntrl5_2_2 |
MittelmannParaCntrl5_2_3 |
MittelmannParaCntrl5_try |
MittelmannParaCntrlBase< T > | Base class for parabolic and elliptic control problems, as formulated by Hans Mittelmann as problem (P) in Sufficient Optimality for Discretized Parabolic and Elliptic Control Problems
Ipopt::MonotoneMuUpdate | Monotone Mu Update
Ipopt::MultiVectorMatrix | Class for Matrices with few columns that consists of Vectors
Ipopt::MultiVectorMatrixSpace | This is the matrix space for MultiVectorMatrix
Ipopt::MumpsSolverInterface | Interface to the linear solver Mumps, derived from SparseSymLinearSolverInterface
Ipopt::MuOracle | Abstract Base Class for classes that are able to compute a suggested value of the barrier parameter that can be used as an oracle in the NonmontoneMuUpdate class
Ipopt::MuUpdate | Abstract Base Class for classes that implement methods for computing the barrier and fraction-to-the-boundary rule parameter for the current iteration
MyNLP | C++ Example NLP for interfacing a problem with IPOPT
Ipopt::MySensTNLP |
Ipopt::NLP | Brief Class Description
Ipopt::NLPBoundsRemover | This is an adaper for an NLP that converts variable bound constraints to inequality constraints
Ipopt::NLPScalingObject | This is the abstract base class for problem scaling
Ipopt::NoNLPScalingObject | Class implementing the scaling object that doesn't to any scaling
Ipopt::Observer | Slight Variation of the Observer Design Pattern
Ipopt::OptimalityErrorConvergenceCheck | Brief Class Description
Options |
Ipopt::OptionsList | This class stores a list of user set options
Ipopt::OptionsList::OptionValue | Class for storing the value and counter for each option in OptionsList
Ipopt::OrigIpoptNLP | This class maps the traditional NLP into something that is more useful by Ipopt
Ipopt::OrigIterationOutput | Class for the iteration summary output for the original NLP
Ipopt::ParametricTNLP |
Ipopt::PardisoSolverInterface | Interface to the linear solver Pardiso, derived from SparseSymLinearSolverInterface
Ipopt::PCalculator |
Ipopt::PColumn |
Ipopt::PDFullSpaceSolver | This is the implemetation of the Primal-Dual System, using the full space approach with a direct linear solver
Ipopt::PDPerturbationHandler | Class for handling the perturbation factors delta_x, delta_s, delta_c, and delta_d in the primal dual system
Ipopt::PDSearchDirCalculator | Implementation of the search direction calculator that computes the pure primal dual step for the current barrier parameter
Ipopt::PDSystemSolver | Pure Primal Dual System Solver Base Class
Ipopt::PenaltyLSAcceptor | Penalty function line search
Ipopt::PiecewisePenalty | Class for the Piecewise Penalty
Ipopt::PiecewisePenEntry | Struct for one Piecewise Penalty entry
Ipopt::PointPerturber | This class is a simple object for generating randomly perturbed points that are withing the NLP bounds
Ipopt::AmplOptionsList::PrivatInfo |
Ipopt::ProbingMuOracle | Implementation of the probing strategy for computing the barrier parameter
MittelmannParaCntrl5_1::ProblemSpecs |
MittelmannParaCntrl5_2_1::ProblemSpecs |
MittelmannParaCntrl5_2_2::ProblemSpecs |
MittelmannParaCntrl5_2_3::ProblemSpecs |
MittelmannParaCntrl5_try::ProblemSpecs |
Ipopt::QualityFunctionMuOracle | Implementation of the probing strategy for computing the barrier parameter
Ipopt::ReducedHessianCalculator |
Ipopt::ReferencedObject | ReferencedObject class
Ipopt::Referencer | Psydo-class, from which everything has to inherit that wants to use be registered as a Referencer for a ReferencedObject
Ipopt::RegisteredOption | Base class for registered options
Ipopt::RegisteredOptions | Class for storing registered options
RegisteredTNLP | Class implemented the NLP discretization of
RegisteredTNLPs |
Ipopt::RestoConvergenceCheck | Convergence check for the restoration phase
Ipopt::RestoFilterConvergenceCheck | This is the implementation of the restoration convergence check is the original algorithm used the filter globalization mechanism
Ipopt::RestoIpoptNLP | This class maps the traditional NLP into something that is more useful by Ipopt
Ipopt::RestoIterateInitializer | Class implementing the default initialization procedure (based on user options) for the iterates
Ipopt::RestoIterationOutput | Class for the iteration summary output for the restoration phase
Ipopt::RestoPenaltyConvergenceCheck | This is the implementation of the restoration convergence check is the original algorithm used the filter globalization mechanism
Ipopt::RestorationPhase | Base class for different restoration phases
Ipopt::RestoRestorationPhase | Recursive Restoration Phase for the.MinC_1NrmRestorationPhase
org::coinor::examples::scalable::Scalable | Abstract class for the scalable problems
Ipopt::ScaledMatrix | Class for a Matrix in conjunction with its scaling factors for row and column scaling
Ipopt::ScaledMatrixSpace | This is the matrix space for ScaledMatrix
Ipopt::SchurData |
Ipopt::SchurDriver |
Ipopt::SearchDirectionCalculator | Base class for computing the search direction for the line search
Ipopt::SensAlgorithm |
Ipopt::SensAmplTNLP |
Ipopt::SensApplication |
Ipopt::SensBacksolver |
Ipopt::SensBuilder |
Ipopt::SensitivityStepCalculator |
Ipopt::SimpleBacksolver |
Ipopt::SlackBasedTSymScalingMethod | Class for the method for computing scaling factors for symmetric matrices in triplet format, specifically for the inexaxct algorithm
Ipopt::SmartPtr< T > | Template class for Smart Pointers
org::coinor::examples::scalable::SolveProblem | Class for running several different Scalable problems
Ipopt::SolveStatistics | This class collects statistics about an optimziation run, such as iteration count, final infeasibilities etc
SparseMatrix |
Ipopt::SparseSymLinearSolverInterface | Base class for interfaces to symmetric indefinite linear solvers for sparse matrices
Ipopt::StandardScalingBase | This is a base class for many standard scaling techniques
Ipopt::StdAugSystemSolver | Solver for the augmented system for triple type matrices
Ipopt::StdInterfaceTNLP | Implementation of a TNLP for the Standard C interface
Ipopt::StdStepCalculator |
Ipopt::StreamJournal | StreamJournal class
Ipopt::RegisteredOption::string_entry | Class to hold the valid string settings for a string option
Ipopt::Subject | Slight Variation of the Observer Design Pattern (Subject part)
Ipopt::SuffixHandler | This class is the interface for all classes that can return indices
Ipopt::SumMatrix | Class for Matrices which are sum of matrices
Ipopt::SumMatrixSpace | Class for matrix space for SumMatrix
Ipopt::SumSymMatrix | Class for Matrices which are sum of symmetric matrices
Ipopt::SumSymMatrixSpace | Class for matrix space for SumSymMatrix
Ipopt::SymLinearSolver | Base class for all derived symmetric linear solvers
Ipopt::SymMatrix | This is the base class for all derived symmetric matrix types
Ipopt::SymMatrixSpace | SymMatrixSpace base class, corresponding to the SymMatrix base class
Ipopt::SymScaledMatrix | Class for a Matrix in conjunction with its scaling factors for row and column scaling
Ipopt::SymScaledMatrixSpace | This is the matrix space for SymScaledMatrix
Ipopt::SymTMatrix | Class for symmetric matrices stored in triplet format
Ipopt::SymTMatrixSpace | This is the matrix space for a SymTMatrix with fixed sparsity structure
Ipopt::TaggedObject | TaggedObject class
Ipopt::TDependencyDetector | Base class for all derived algorithms for detecting linearly dependent rows in the constraint Jacobian
Ipopt::TimedTask | This class is used to collect timing information for a particular task
Ipopt::TimingStatistics | This class collects all timing statistics for Ipopt
Ipopt::TNLP | Base class for all NLP's that use standard triplet matrix form and dense vectors
Ipopt::TNLPAdapter | This class Adapts the TNLP interface so it looks like an NLP interface
Ipopt::TNLPReducer | This is a wrapper around a given TNLP class that takes out a list of constraints that are given to the constructor
Ipopt::TransposeMatrix | Class for Matrices which are the transpose of another matrix
Ipopt::TransposeMatrixSpace | This is the matrix space for TransposeMatrix
Ipopt::TripletToCSRConverter::TripletEntry | Class for one triplet position entry
Ipopt::TripletHelper |
Ipopt::TripletToCSRConverter | Class for converting symmetric matrices given in triplet format to matrices in compressed sparse row (CSR) format of the upper triangular part (or, equivalently, compressed sparse column (CSC) format for the lower triangular part)
Ipopt::TSymDependencyDetector | Base class for all derived algorithms for detecting linearly dependent rows in the constraint Jacobian
Ipopt::TSymLinearSolver | General driver for linear solvers for sparse indefinite symmetric matrices
Ipopt::TSymScalingMethod | Base class for the method for computing scaling factors for symmetric matrices in triplet format
TutorialCpp_NLP |
Ipopt::UserScaling | This class does problem scaling by getting scaling parameters from the user (through the NLP interface)
Ipopt::Vector | Vector Base Class
Ipopt::VectorSpace | VectorSpace base class, corresponding to the Vector base class
Ipopt::WarmStartIterateInitializer | Class implementing an initialization procedure for warm starts
Ipopt::WsmpSolverInterface | Interface to the linear solver Wsmp, derived from SparseSymLinearSolverInterface
Ipopt::ZeroMatrix | Class for Matrices with only zero entries
Ipopt::ZeroMatrixSpace | Class for matrix space for ZeroMatrix

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