Linear and multilinear algebra; matrix theory Matrices and matrix algebra Concept
Matrix
Summary
A matrix is a rectangular array of elements of a ring or a field, arranged in rows and columns. Matrices represent linear maps and systems of linear equations.
Where this leads
49 pages build on this one.
- Power iteration
- Unit-regular ring
- Random matrix
- Cauchy matrix
- Simplex algorithm
- Sylvester equation
- Linear programming
- Toeplitz matrix
- Totally unimodular matrix
- Vandermonde matrix
- QR algorithm
- Sparse matrix
- Restricted isometry property
- Robinson–Schensted–Knuth correspondence
- Discrete-time algebraic Riccati equation
- Max-plus algebra
- Matrix difference equation
- Generalized inverse
- Algebraic Riccati equation
- Matrix pencil
- Totally positive matrix
- Rado's theorem
- Kernel approximation in reproducing kernel Hilbert spaces
- von Neumann regular ring
- John ellipsoid
- Hierarchical matrix
- Krylov subspace
- System of linear integral equations
- Farkas' lemma
- Matrix completion
- Carleman matrix
- Boolean matrix
- Cluster algebra
- Sparse approximation
- Frobenius norm
- Strassen algorithm
- Compressed sensing
- Determinantal ideal
- Nonnegative matrix
- Cohn localization
- Variation of parameters for difference equations
- Eigenvalue algorithm
- Band matrix
- Integral quadratic form
- Löwner–John theorem
- Hankel matrix
- Matrix norm
- Hadamard product
- Numerical linear algebra
Further reading
- Web https://en.wikipedia.org/wiki/Matrix_(mathematics), lead section
About this page
| Tag | 0VD9ZSWWJG |
|---|---|
| URI | m2://0VD9ZSWWJG |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A99 |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W2
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Instances
Special cases
- Block matrix
- Coefficient matrix
- Square matrix
- Augmented matrix
- Totally positive matrix
- Cauchy matrix
- Toeplitz matrix
- Hadamard matrix
- Sparse matrix
- Nonnegative matrix
- Hankel matrix
- Vandermonde matrix
- Totally unimodular matrix
- Band matrix
Definitions
Used by
- Power iteration
- Random matrix
- Cauchy matrix
- Simplex algorithm
- Sylvester equation
- Linear programming
- Toeplitz matrix
- Totally unimodular matrix
- Vandermonde matrix
- QR algorithm
- Sparse matrix
- Restricted isometry property
- Robinson–Schensted–Knuth correspondence
- Discrete-time algebraic Riccati equation
- Max-plus algebra
- Matrix difference equation
- Generalized inverse
- Algebraic Riccati equation
- Matrix pencil
- Totally positive matrix
- Rado's theorem
- Kernel approximation in reproducing kernel Hilbert spaces
- von Neumann regular ring
- John ellipsoid
- Hierarchical matrix
- Krylov subspace
- System of linear integral equations
- Farkas' lemma
- Matrix completion
- Carleman matrix
- Boolean matrix
- Cluster algebra
- Sparse approximation
- Frobenius norm
- Strassen algorithm
- Compressed sensing
- Determinantal ideal
- Nonnegative matrix
- Cohn localization
- Variation of parameters for difference equations
- Eigenvalue algorithm
- Band matrix
- Integral quadratic form
- Löwner–John theorem
- Hankel matrix
- Matrix norm
- Hadamard product
- Numerical linear algebra