HilbertMatrix[n] gives the n*n Hilbert matrix with elements of the form 1/(i + j - 1).HilbertMatrix[{m, n}] gives the m*n Hilbert matrix.

Built into Mathematica is the world's largest collection of both numerical and symbolic equation solving capabilities—with many original algorithms, all automatically ...

Mathematica's built-in SparseArray function should be used to create tridiagonal matrices. Mathematica kernel's built-in sparse solver LinearSolve has replaced ...

$MessagePrePrint is a global variable whose value, if set, is applied to expressions before they are included in the text of messages.

Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highly-optimized algorithms. Using many original methods, ...

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

DiscreteLyapunovSolve[a, c] finds the numeric solution x of the discrete matrix equation a.x.a\[ConjugateTranspose] - x == c.DiscreteLyapunovSolve[a, b, c] solves a.x.b - x ...

ConstantArray[c, n] generates a list of n copies of the element c.ConstantArray[c, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists containing copies of the ...