RealBlockDiagonalForm (Built-in Mathematica Symbol)

RealBlockDiagonalForm is an option for SchurDecomposition and related functions which specifies whether 2*2 blocks of real values should be used on matrix diagonals in place ...

TableDepth (Built-in Mathematica Symbol)

TableDepth is an option for TableForm and MatrixForm which specifies the maximum number of levels to be printed in tabular or matrix format.

Introduction to Local Minimization (Mathematica Tutorial)

The essence of most methods is in the local quadratic model that is used to determine the next step. The FindMinimum function in Mathematica has five essentially different ...

Introduction to Solving Nonlinear ... (Mathematica Tutorial)

There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...

ConjugateTranspose (Built-in Mathematica Symbol)

ConjugateTranspose[m] or m^\[ConjugateTranspose] gives the conjugate transpose of m.

EdgeCount (Built-in Mathematica Symbol)

EdgeCount[g] gives a count of the number of edges in the graph g.EdgeCount[g, patt] gives a count of the number of edges that match the pattern patt.

EquivalenceRelationQ (Combinatorica Package Symbol)

EquivalenceRelationQ[r] yields True if the matrix r defines an equivalence relation. EquivalenceRelationQ[g] tests whether the adjacency matrix of graph g defines an ...

DeleteBorderComponents (Built-in Mathematica Symbol)

DeleteBorderComponents[image] replaces connected components adjacent to the border in a binary image image with background pixels.DeleteBorderComponents[m] replaces ...

Introduction to Systems of ODEs (Mathematica Tutorial)

Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...

Getting and Setting Pieces of Matrices (Mathematica Tutorial)

Ways to get pieces of matrices. Matrices in Mathematica are represented as lists of lists. You can use all the standard Mathematica list-manipulation operations on matrices. ...