New in 6.0: Matrix & Linear Algebra Functions
Version 6.0 continued Mathematica's commitment to delivering the latest and most efficient algorithms for linear algebra, generalized to arbitrary precision and with full symbolic capability. A notable feature is that the symbolic structure of Mathematica has made possible uniquely flexible specifications for general banded matrices.
New Matrix Structure Functions
Span (;;) — extract sequences and sub-blocks from vectors and matrices
Band — symbolically specify generalized banded matrix structures
ArrayFlatten — generalized block-matrix constructor
Diagonal — extract the diagonal of a matrix
HermitianMatrixQ ▪ PositiveDefiniteMatrixQ
New in Matrix Operations
LeastSquares — solve linear least-squares problems given in matrix form
MatrixExp, MatrixPower (modified) — now allow application to a vector
HermiteDecomposition — Hermite normal form of a matrix
New Vector Space Functions
Normalize ▪ Orthogonalize ▪ Projection ▪ UnitVector ▪ ConstantArray
New Special Matrices
HilbertMatrix ▪ HankelMatrix ▪ ToeplitzMatrix ▪ DiagonalMatrix (modified)