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

NTeuchos
CPolynomialTraits< Thyra::VectorBase< Scalar > >	Specilization of Teuchos::PolynomialTraits for Thyra vectors
NThyra
NDirectionalFiniteDiffCalculatorTypes
CSelectedDerivatives	Simple utility class used to select finite difference derivatives for OutArgs object
NExceptions
CUnInitialized	Thrown if any member functions are called before initialize() has been called
CIncompatibleVectorSpaces	Thrown if vector spaces are incompatible
COpNotSupported
CAddedLinearOpBase	Interface class for implicitly added linear operators
CArray
CArrayRCP
CArrayView
CBlockedLinearOpBase	Base interface for linear operators that can be accessed as sub-blocks
CBlockedLinearOpWithSolveBase	Base interface for linear operators with a solve that can be accessed as sub-blocks
CCatastrophicSolveFailure	Exception type thrown on an catastrophic solve failure
CConstDetachedMultiVectorView	Create an explicit non-mutable (const) view of a MultiVectorBase object
CConstDetachedSpmdVectorView	Create an explicit detached non-mutable (const) view of all of the local elements on this process of an VectorBase object
CConstDetachedVectorView	Create an explicit non-mutable (const) view of a VectorBase object
CDampenedNewtonNonlinearSolver	Simple dampended Newton solver using a Armijo line search :-)
CDefaultAddedLinearOp	Concrete composite LinearOpBase subclass that creates an implicitly added linear operator out of one or more constituent LinearOpBase objects
CDefaultAdjointLinearOpWithSolve	Default concreate decorator subclass for a transpose/adjoint LinearOpWithSolveBase object
CDefaultBlockedLinearOp	Concrete composite LinearOpBase subclass that creates single linear operator object out of a set of constituent LinearOpBase blocks
CDefaultBlockedTriangularLinearOpWithSolve	Concrete composite LinearOpWithSolveBase subclass that creates single upper or lower block triangular LOWSB object out of a set of LOWSB objects along the diagonal with LOB objects off diagonal
CDefaultBlockedTriangularLinearOpWithSolveFactory	Implicit subclass that takes a blocked triangular LOWB object and turns it into a LOWSB object
CDefaultClusteredSpmdProductVector	Concrete implementation of a clustered Spmd-based product vector
CDefaultClusteredSpmdProductVectorSpace
CDefaultColumnwiseMultiVector	Default subclass for MultiVectorBase implemented using columns of separate abstract vectors
CDefaultDiagonalLinearOp	Default concrete LinearOpBase subclass for diagonal linear operators
CDefaultDiagonalLinearOpWithSolve	Concrete LinearOpWithSolveBase subclass for diagonal linear operators
CDefaultEvaluationLoggerModelEvaluator	This class wraps any ModelEvaluator object and logs the evaluation of various functions
CDefaultFinalPointCaptureModelEvaluator	This class wraps any ModelEvaluator object and allows the client to capture the final point that is returned by a client
CDefaultFiniteDifferenceModelEvaluator	This class wraps any ModelEvaluator object and computes certain derivatives using finite differences
CDefaultIdentityLinearOp	Represents a identity linear operator M = I
CDefaultInverseLinearOp	Concrete LinearOpBase subclass that creates an implicit LinearOpBase object using the inverse action of a LinearOpWithSolveBase object
CDefaultInverseModelEvaluator	This class wraps any ModelEvaluator object and adds a simple, but fairly general, inverse response function
CDefaultLinearOpSource	Default implementation of a LinearOpSourceBase that just accepts and gives up a single linear operator object
CDefaultLumpedParameterModelEvaluator	Decorator class that wraps any ModelEvaluator object and lumps parameters together using a linear basis matrix
CDefaultModelEvaluatorWithSolveFactory	This class wraps any ModelEvaluator object and uses a compatible LinearOpWithSolveFactory object to create a LinearOpWithSolveBase version of W
CDefaultMultiPeriodModelEvaluator	Composite subclass that takes a single ModelEvaluator object and represents it as a single aggregate multi-period ModelEvalator object
CDefaultMultipliedLinearOp	Concrete composite LinearOpBase subclass that creates an implicitly multiplied linear operator out of one or more constituent LinearOpBase objects
CDefaultMultiVectorLinearOpWithSolve	Implicit concrete LinearOpWithSolveBase subclass that takes a flattended out multi-vector and performs a multi-RHS solve with it
CDefaultMultiVectorProductVector	Concrete implementation of a product vector which is really composed out of the columns of a multi-vector
CDefaultMultiVectorProductVectorSpace	Standard concrete implementation of a product vector space that creates product vectors fromed implicitly from the columns of a multi-vector
CDefaultNominalBoundsOverrideModelEvaluator	This class wraps any ModelEvaluator object and allows the client to overide the state contained in the nominal values and the upper and lower bounds
CDefaultNonlinearSolverBuilder	Concrete subclass of Thyra::NonlinearSolverBuilderBase for creating NonlinearSolverBase objects and PreconditionerFactoryBase object on demand given configured factory objects
CDefaultPreconditioner	Default implementation of a PreconditionerBase that just accepts precreated preconditioner linear operators
CDefaultProductMultiVector	Concrete implementation of a product multi-vector
CDefaultProductVector	Concrete implementation of a product vector
CDefaultProductVectorSpace
CDefaultScaledAdjointLinearOp	Concrete decorator LinearOpBase subclass that wraps a LinearOpBase object and adds on an extra scaling factor and/or a transpose enum
CDefaultSerialDenseLinearOpWithSolve	Simple concreate subclass of LinearOpWithSolveBase for serial dense matrices implemented using LAPACK
CDefaultSerialDenseLinearOpWithSolveFactory	Concreate LinearOpWithSolveFactoryBase subclass that creates DefaultSerialDenseLinearOpWithSolve objects that use LAPACK
CDefaultSerialVectorSpaceConverter	Concrete subclass for a converter subclass for converting serial multi-vectors and vectors
CDefaultSpmdMultiVector	Efficient concrete implementation subclass for SPMD multi-vectors
CDefaultSpmdMultiVectorFileIO	Concrete implementation of MultiVectorFileIO that reads and writes SPMD-based (multi)vectors to and from files
CDefaultSpmdVector	Efficient concrete implementation subclass for SPMD vectors
CDefaultSpmdVectorSpace	Concrete implementation of an SPMD vector space subclass which creates DefaultSpmdVector and DefaultSpmdMultiVector objects
CDefaultSpmdVectorSpaceFactory	Concrete implementation of a vector-space factory for a locally-replicated distributed DefaultSpmdVectorSpace objects
CDefaultStateEliminationModelEvaluator	This class wraps any ModelEvaluator object along with a NonlinearSolverBase object and eliminates the steady-state equations f(x,...)=0
CDefaultZeroLinearOp	Represents a zero linear operator M = 0
CDelayedLinearOpWithSolve	Delayed linear solver construction LinearOpWithSolveBase decorator class
CDelayedLinearOpWithSolveFactory	General delayed construction LinearOpWithSolveFactoryBase subclass
CDetachedMultiVectorView	Create an explicit mutable (non-const) view of a MultiVectorBase object
CDetachedSpmdVectorView	Create an explicit detached mutable (non-const) view of all of the local elements on this process of an VectorBase object
CDetachedVectorView	Create an explicit mutable (non-const) view of a VectorBase object
CDiagonalEpetraLinearOpWithSolveFactory	Create a DefaultDiagonalLinearOpWithSolve out of a diagonal Epetra_RowMatrix object
CDiagonalLinearOpBase	Interface class for for diagonal linear operators
CDiagonalQuadraticResponseOnlyModelEvaluator	Simple parallel response-only ModelEvaluator
CDiagonalScalarProd	Concrete implementation of a scalar product using a diagonal vector
CDirectionalFiniteDiffCalculator	Utility class for computing directional finite differences of a model
CDummyTestModelEvaluator	Test helper ModelEvaluator
CEpetraExtAddTransformer	Transformer subclass for adding Epetra/Thyra operators using EpetraExt::MatrixMatrix
CEpetraExtDiagScaledMatProdTransformer	Transformer subclass for diagonally scaling and multiplying Epetra/Thyra operators
CEpetraExtDiagScalingTransformer	Transformer subclass for diagonally scaling a Epetra/Thyra operator
CEpetraLinearOp	Concrete LinearOpBase adapter subclass for Epetra_Operator object
CEpetraLinearOpBase	Abstract base class for all LinearOpBase objects that can return an Epetra_Operator view of themselves and details about how to apply the view
CEpetraModelEvaluator	Concrete Adapter subclass that takes an EpetraExt::ModelEvaluator object and wraps it as a Thyra::ModelEvaluator object
CEpetraOperatorViewExtractorBase	Strategy interface for extracting an Epetra_Operator view out of a Thyra::LinearOpBase<double> object
CEpetraOperatorViewExtractorStd	Standard strategy subclass for extracting an Epetra_Operator view out of a Thyra::LinearOpBase<double> object by dynamic casting to the EpetraLinearOpBase interface
CEpetraOperatorWrapper	Implements the Epetra_Operator interface with a Thyra LinearOperator
CEuclideanScalarProd	Concrete implementation of a scalar product for a Euclidean vector space (i.e. using the dot product)
CIdentityLinearOpBase	Interface class for identity linear operators
CInverseLinearOpBase	Base interface for <ttLinearOpBase objects that are implemented in terms of the solve function on a LinearOpWithSolveBase object
CLinearNonlinearSolver	Concrete nonlinear solver for linear equations
CLinearOpBase	Base class for all linear operators
CLinearOpChanger	Silly abstract strategy interface for changing Thyra::LinearOpBase objects
CLinearOpDefaultBase	Node subclass that provides a good default implementation for the describe() function
CLinearOpScalarProd	Concrete implementation of a scalar product using a symmetric positive-definite linear operator
CLinearOpSourceBase	Base interface for objects that can return a linear operator
CLinearOpTester	Testing class for LinearOpBase
CLinearOpTransformerBase	Base interface for transforming a LinearOpBase object
CLinearOpWithSolveBase	Base class for all linear operators that can support a high-level solve operation
CLinearOpWithSolveFactoryBase	Factory interface for creating LinearOpWithSolveBase objects from compatible LinearOpBase objects
CLinearOpWithSolveTester	Testing class for LinearOpWithSolveBase
CLinearSolverBuilderBase	Abstract interface for an object that can create LinearOpWithSolveFactoryBase objects on demand
CListedMultiVectorRandomizer	MultiVectorRandomizerBase subclass that returns a revolving list of preset MultiVectorBase objects
CModelEvaluator	Pure abstract base interface for evaluating a stateless "model" that can be mapped into a number of different types of problems
CModelEvaluatorBase	Base subclass for ModelEvaluator that defines some basic types
CInArgs	Concrete aggregate class for all input arguments computable by a ModelEvaluator subclass object
CEvaluation	Type to embed evaluation accuracy with an RCP-managed object
CDerivativeSupport	Determines the forms of a general derivative that are supported
CDerivativeProperties	Simple public strict containing properties of a derivative object
CDerivativeMultiVector	Simple aggregate class for a derivative object represented as a column-wise multi-vector or its transpose as a row-wise multi-vector
CDerivative	Simple aggregate class that stores a derivative object as a general linear operator or as a multi-vector
CMPDerivativeMultiVector	Simple aggregate class for a derivative object represented as a column-wise multi-vector or its transpose as a row-wise multi-vector
CMPDerivative	Simple aggregate class that stores a derivative object as a general linear operator or as a multi-vector
COutArgs	Concrete aggregate class for all output arguments computable by a ModelEvaluator subclass object
CInArgsSetup	Protected subclass of InArgs that only ModelEvaluator subclasses can access to set up the selection of supported input arguments
COutArgsSetup	Protected subclass of OutArgs that only ModelEvaluator subclasses can access to set up the selection of supported input arguments
CModelEvaluatorDefaultBase	Default base class for concrete model evaluators
CModelEvaluatorDelegatorBase	This is a base class that delegetes almost all function to a wrapped model evaluator object
CMultipliedLinearOpBase	Interface class for implicitly multiplied linear operators
CMultiVectorAdapterBase	Node subclass for MultiVectorBase subclasses that allows the insertion of an application defined scalar product
CMultiVectorAllocator	Allocator class to be used with Teuchos::AbstractFactoryStd to create MultiVectorBase objects of a given size
CMultiVectorBase	Interface for a collection of column vectors called a multi-vector
CMultiVectorDefaultBase	Node subclass that uses a default MultiVectorBase implementation to provide default implementations for as many other functions in MultiVectorBase interface the as is reasonable
CMultiVectorFileIOBase	Abstract strategy interface for reading and writing (multi)vector objects to and from files
CMultiVectorRandomizerBase	Base interface for a strategy object for randomizing a multi-vector
CMultiVectorStdOpsTester	Testing class that tests all of the standard vector operations defined in ??? using an arbitrary vector space
CMultiVectorTester	Unit testing class for a MultiVectorBase object
CNonlinearSolverBase	Base class for all nonlinear equation solvers
CNullLinearOpChanger	No-op changer
CParameterDrivenMultiVectorInput	Concrete utility class that an ANA can use for reading in a (multi)vector as directed by a parameter sublist
CParameterList
CPhysicallyBlockedLinearOpBase	Base interface for physically blocked linear operators
CPhysicallyBlockedLinearOpWithSolveBase	Base interface for linear operators with a solve that are composed out of individual LOB and LOWSB objects
CPreconditionerBase	Simple interface class to access a precreated preconditioner as one or more linear operators objects and information on how they are meant to be applied
CPreconditionerFactoryBase	Factory interface for creating preconditioner objects from LinearOpBase objects
CProductMultiVectorBase	Base interface for product multi-vectors
CProductVectorBase	Base interface for product vectors
CProductVectorSpaceBase
CPtr
CRCP
CReductionFunctional	A general reduction functional to be used in specialized solve convergence criteria
CResponseOnlyModelEvaluatorBase	This base class defines default function implementations appropritate for a response-only model evaluator (p) -> g(j), for j=0...Ng-1
CRowStatLinearOpBase	Interface for exxtracting row statistics as a VectorBase from a supporting LinearOpBase object
CScalarProdBase	Abstract interface for scalar products
CScalarProdVectorSpaceBase	Forward decl
CScalarTraits
CScaledAdjointLinearOpBase	Base class for LinearOpBase decorator subclasses that wrap a LinearOpBase object and adds on an extra scaling factor and/or a new transpose enum
CScaledLinearOpBase	Applies left or right sclaing to the linear operator
CScaledModelEvaluator	This class decorates a ModelEvaluator and returns scaled residual and Jacobian values
CSerialVectorSpaceConverterBase	Node base class for converting serial multi-vectors (and vectors) from one scalar type to another
CSimple2DModelEvaluator	Simple 2d simulation only ModelEvaluator for f(x) = 0
CSolveCriteria	Simple struct that defines the requested solution criteria for a solve
CSolveMeasureType	Solve tolerance type
CSolveStatus	Simple struct for the return status from a solve
CSpmdMultiVectorBase	Base interface class for SPMD multi-vectors
CSpmdMultiVectorDefaultBase	Base node implementation class for SPMD multi-vectors
CSpmdMultiVectorSerializer	Concrete utility class for reading and writing SPMD-based MultiVectorBase objects to and from standard streams
CSpmdVectorBase	Base class for SPMD vectors that can provide views of contiguous elements in a process
CSpmdVectorDefaultBase	Base class for SPMD vectors that can provide views of contiguous elements in a process
CSpmdVectorSpaceBase	Base abstract VectorSpaceBase class for all SPMD-based vector spaces
CSpmdVectorSpaceDefaultBase	Base VectorSpaceBase class for all SPMD vector spaces with contiguous local-to-global indexing
CStateFuncModelEvaluatorBase	This base class defines default function implementations appropritate for a set of nonlinear state functions of the form x -> f(x)
CTestResultsPrinter	Control printing of test results
CTpetraEuclideanScalarProd	Extends concrete implementation of a Euclidean scalar product for specifically Tpetra vectors/multivectors
CTpetraExplicitAdjointModelEvaluator	A model evaluator decorator for computing an explicit adjoint
CTpetraLinearOp	Concrete Thyra::LinearOpBase subclass for Tpetra::Operator
CTpetraMultiVector	Concrete implementation of Thyra::MultiVector in terms of Tpetra::MultiVector
CTpetraOperatorVectorExtraction	Traits class that enables the extraction of Tpetra operator/vector objects wrapped in Thyra operator/vector objects
CTpetraVector	Concrete Thyra::SpmdVectorBase using Tpetra::Vector
CTpetraVectorSpace	Concrete implementation of an SPMD vector space for Tpetra
CTuple
CTypeNameTraits
CUniversalMultiVectorRandomizer	Univeral MultiVectorRandomizerBase subclass that is compatible with all MultiVectorBase objects
CVectorBase	Abstract interface for finite-dimensional dense vectors
CVectorDefaultBase	Convenient node subclass for concrete VectorBase subclasses that relies on a default MultiVectorBase implementation
CVectorSpaceBase	Abstract interface for objects that represent a space for vectors
CVectorSpaceConverterBase	Base interface for a factory that converts vector space types and vectors and multi-vectors from one scalar type to another
CVectorSpaceDefaultBase	Node VectorSpaceBase subclass that provides default implementations for many functions using a default multi-vectors implementation
CVectorSpaceFactoryBase	Abstract interface for objects that can create vector spaces of a specified dimension
CVectorSpaceTester	Testing class for VectorSpace and the VectorBase and MultiVectorBase objects that it creates
CVectorStdOpsTester	Testing class that tests all of the standard vector operations defined in ??? using an arbitrary vector space
CVectorTester	Unit testing class for a VectorBase object
CZeroLinearOpBase	Interface class for zero linear operators
CExampleTridiagSerialLinearOp	Simple example subclass for serial tridiagonal matrices
CExampleTridiagSpmdLinearOp	Simple example subclass for Spmd tridiagonal matrices