





Numerical Computation 



 Major optimization of dense numerical linear algebra.

New optimized sparse numerical linear algebra.

Support for optimized arbitraryprecision linear algebra.

Generalized eigenvalues and singular value decomposition.

LinearSolveFunction
for repeated linearsystem solving.

p norms for vectors and matrices.

Builtin MatrixRank
for exact and approximate matrices.

Support for largescale linear programming, with interior point
methods.

New methods and array variable support in FindRoot
and FindMinimum.

FindFit
for full nonlinear curve fitting.

Constrained global optimization with NMinimize.

Support for ndimensional PDEs in NDSolve.

Support for differentialalgebraic equations in NDSolve.

Support for vector and arrayvalued functions in NDSolve.

Highly extensive collection of automatically accessible algorithms
in NDSolve.

Finer precision and accuracy control for arbitraryprecision
numbers.

Higherefficiency big number arithmetic, including
processorspecific optimization.

Enhanced algorithms for numbertheoretical operations including GCD
and FactorInteger.

Direct support for highperformance basic statistics functions.








Symbolic Computation 




Solutions to mixed systems of equations and inequalities in Reduce.

Complete solving of polynomial systems over real or complex numbers.

Solving large classes of Diophantine equations.

ForAll
and Exists
quantifiers and quantifier elimination.

Representation of discrete and continuous algebraic and
transcendental solution sets.

FindInstance
for finding instances of solutions over different domains.

Exact constrained minimization over real and integer domains.

Integrated support for assumptions using Assuming
and Refine.

RSolve
for solving recurrence equations.

Support for nonlinear, partial and q difference equations and
systems.

Full solutions to systems of rational ordinary differential
equations.

Support for differentialalgebraic equations.

CoefficientArrays
for converting systems of equations to tensors.








Programming and Core System 




Integrated language support for sparse arrays.

New list programming with Sow
and Reap.

EvaluationMonitor
and StepMonitor
for algorithm monitoring.

Enhanced timing measurement, including AbsoluteTiming.

Major performance enhancements for MathLink.

Optimization for 64bit operating systems and architectures.

Support for computations in full 64bit address spaces.








Interfaces 




Support for more than 50 import and export formats.

Highefficiency import and export of tabular data.

PNG, SVG and DICOM graphics and imaging formats.

Import and export of sparse matrix formats.

MPS linear programming format.

Cascading style sheets and XHTML for notebook exporting.

Preview version of .NET/Link for integration with
.NET.









Notebook Interface 



 Enhanced Help Browser design.
 Automatic copy/paste switching for Windows.
 Enhanced support for slide show presentation.
 AuthorTools support for notebook diffs.









Standard Addon Packages 



 Statistical plots and graphics.
 Algebraic number fields.



