Numerical Computation

Major optimization of dense numerical linear algebra.

New optimized sparse numerical linear algebra.

Support for optimized arbitrary-precision linear algebra.

Generalized eigenvalues and singular value decomposition.

LinearSolveFunction for repeated linear-system solving.

norms for vectors and matrices.

Built-in MatrixRank for exact and approximate matrices.

Support for large-scale 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 -dimensional PDEs in NDSolve.

Support for differential-algebraic equations in NDSolve.

Support for vector and array-valued functions in NDSolve.

Highly extensive collection of automatically accessible algorithms in NDSolve.

Finer precision and accuracy control for arbitrary-precision numbers.

Higher-efficiency big number arithmetic, including processor-specific optimization.

Enhanced algorithms for number-theoretical operations including GCD and FactorInteger.

Direct support for high-performance basic statistics functions.