Similarities between Projection (linear algebra) and Singular-value decomposition
Projection (linear algebra) and Singular-value decomposition have 18 things in common (in Unionpedia): Bounded operator, Conjugate transpose, Diagonalizable matrix, Dot product, Eigenvalue algorithm, Eigenvalues and eigenvectors, Householder transformation, Kernel (linear algebra), Linear algebra, Linear map, Matrix (mathematics), Moore–Penrose inverse, Orthonormal basis, Outer product, Partial isometry, QR decomposition, Row and column spaces, Self-adjoint operator.
Bounded operator
In functional analysis, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded above by the same number, over all non-zero vectors v in X. In other words, there exists some M\ge 0 such that for all v in X The smallest such M is called the operator norm \|L\|_ \, of L. A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless L(v).
Bounded operator and Projection (linear algebra) · Bounded operator and Singular-value decomposition ·
Conjugate transpose
In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A with complex entries is the n-by-m matrix A∗ obtained from A by taking the transpose and then taking the complex conjugate of each entry.
Conjugate transpose and Projection (linear algebra) · Conjugate transpose and Singular-value decomposition ·
Diagonalizable matrix
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P−1AP is a diagonal matrix.
Diagonalizable matrix and Projection (linear algebra) · Diagonalizable matrix and Singular-value decomposition ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Dot product and Projection (linear algebra) · Dot product and Singular-value decomposition ·
Eigenvalue algorithm
In numerical analysis, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix.
Eigenvalue algorithm and Projection (linear algebra) · Eigenvalue algorithm and Singular-value decomposition ·
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
Eigenvalues and eigenvectors and Projection (linear algebra) · Eigenvalues and eigenvectors and Singular-value decomposition ·
Householder transformation
In linear algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes a reflection about a plane or hyperplane containing the origin.
Householder transformation and Projection (linear algebra) · Householder transformation and Singular-value decomposition ·
Kernel (linear algebra)
In mathematics, and more specifically in linear algebra and functional analysis, the kernel (also known as null space or nullspace) of a linear map between two vector spaces V and W, is the set of all elements v of V for which, where 0 denotes the zero vector in W. That is, in set-builder notation,.
Kernel (linear algebra) and Projection (linear algebra) · Kernel (linear algebra) and Singular-value decomposition ·
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
Linear algebra and Projection (linear algebra) · Linear algebra and Singular-value decomposition ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Linear map and Projection (linear algebra) · Linear map and Singular-value decomposition ·
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Matrix (mathematics) and Projection (linear algebra) · Matrix (mathematics) and Singular-value decomposition ·
Moore–Penrose inverse
In mathematics, and in particular linear algebra, a pseudoinverse of a matrix is a generalization of the inverse matrix.
Moore–Penrose inverse and Projection (linear algebra) · Moore–Penrose inverse and Singular-value decomposition ·
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
Orthonormal basis and Projection (linear algebra) · Orthonormal basis and Singular-value decomposition ·
Outer product
In linear algebra, an outer product is the tensor product of two coordinate vectors, a special case of the Kronecker product of matrices.
Outer product and Projection (linear algebra) · Outer product and Singular-value decomposition ·
Partial isometry
In functional analysis a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel.
Partial isometry and Projection (linear algebra) · Partial isometry and Singular-value decomposition ·
QR decomposition
In linear algebra, a QR decomposition (also called a QR factorization) of a matrix is a decomposition of a matrix A into a product A.
Projection (linear algebra) and QR decomposition · QR decomposition and Singular-value decomposition ·
Row and column spaces
In linear algebra, the column space (also called the range or '''image''') of a matrix A is the span (set of all possible linear combinations) of its column vectors.
Projection (linear algebra) and Row and column spaces · Row and column spaces and Singular-value decomposition ·
Self-adjoint operator
In mathematics, a self-adjoint operator on a finite-dimensional complex vector space V with inner product \langle\cdot,\cdot\rangle is a linear map A (from V to itself) that is its own adjoint: \langle Av,w\rangle.
Projection (linear algebra) and Self-adjoint operator · Self-adjoint operator and Singular-value decomposition ·
The list above answers the following questions
- What Projection (linear algebra) and Singular-value decomposition have in common
- What are the similarities between Projection (linear algebra) and Singular-value decomposition
Projection (linear algebra) and Singular-value decomposition Comparison
Projection (linear algebra) has 66 relations, while Singular-value decomposition has 161. As they have in common 18, the Jaccard index is 7.93% = 18 / (66 + 161).
References
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