Linear algebra: The branch of algebra in which one studies vector (linear) spaces, linear operators (linear mappings), and linear, bilinear and quadratic functions (functionals and forms) on vector spaces. Historically the first branch of linear algebra was the theory of linear algebraic ... (Mathematics) [100%] 2024-01-12
Linear algebra: Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. (Branch of mathematics) [100%] 2023-10-29 [Linear algebra] [Numerical analysis]...
Linear algebra: Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. (Branch of mathematics) [100%] 2024-01-20 [Linear algebra] [Numerical analysis]...
Linear algebra: Linear algebra is the branch of mathematics that deals with vectors, vector spaces, linear maps, and systems of linear equations. Topics studied in Linear algebra include Linear equations, Matrices, Matrix decompositions, Computations, Vectors, Vector spaces, Multilinear algebra, Affine space, Projective ... [100%] 2023-03-07 [Linear Algebra] [Mathematics]...
Linear algebra: Linear algebra is a branch of mathematics that concerns linear equations, vector spaces, linear maps between vector spaces, and matrices. We have two featured projects, both outside the namespace of this resource. [100%] 2024-01-20 [Linear algebra] [Open essay collections]...
Linear algebra: Linear algebra is a branch of mathematics encompassing a broad range of topics, such as systems of linear equations, matrix algebra, and arrows in Cartesian two-dimensional or three-dimensional space (appearing, for instance, as forces in physics). More generally ... [100%] 2023-07-23
Linear algebra software packages: software for linear algebra Like Euclidean geometry, linear algebra is one of the oldest and most fundamental subjects in mathematics. Its methods are among the most widely used in applications. (Mathematics) [70%] 2023-11-04
Linear algebra - software issues: The increasing availability of advanced-architecture computers, at affordable costs, has had a significant effect on all spheres of scientific computation. In this article, we'll show the need for designers of computing algorithms to make expeditious and substantial adaptations ... [63%] 2021-12-21 [Numerical Analysis] [Multiple Curators]...
Rank (linear algebra): In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number of linearly independent columns of A. (Linear algebra) [81%] 2023-10-28 [Linear algebra]
Linear Lie algebra: In algebra, a linear Lie algebra is a subalgebra \displaystyle{ \mathfrak{g} }[/math] of the Lie algebra \displaystyle{ \mathfrak{gl}(V) }[/math] consisting of endomorphisms of a vector space V. In other words, a linear Lie algebra is the image ... [81%] 2023-10-28 [Lie algebras]
Linear-algebra(2): A special case of an operator ring, when the domain of operators is a commutative associative ring with unit. This phrase is not used in the Western literature in the sense indicated. (Mathematics) [81%] 2023-10-21
Kernel (linear algebra): In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the linear subspace of the domain of the map which is mapped to the zero vector. That is, given a linear map L ... (Linear algebra) [81%] 2023-10-17 [Linear algebra] [Functional analysis]...
Frame (linear algebra): In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the terminology of signal processing, a frame provides a redundant, stable way ... (Linear algebra) [81%] 2023-12-13 [Linear algebra] [Differential geometry]...
Basis (linear algebra): In mathematics, a set B of vectors in a vector space V is called a basis if every element of V may be written in a unique way as a finite linear combination of elements of B. The coefficients of ... (Linear algebra) [81%] 2023-09-27 [Articles containing proofs] [Axiom of choice]...
Flag (linear algebra): In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a finite-dimensional vector space V. Here "increasing" means each is a proper subspace of the next (see filtration): The term flag is motivated by ... (Linear algebra) [81%] 2023-11-21 [Linear algebra]
Lie algebra, linear: over a field $K$ A Lie algebra $\mathfrak{g}$ whose elements are linear transformations of a vector space $V$ over $K$; addition of elements and multiplication of them by elements of $K$ are defined in the usual way, and the ... (Mathematics) [81%] 2023-10-25
Basis (linear algebra): In linear algebra, a basis for a vector space V {\displaystyle V} is a set of vectors in V {\displaystyle V} such that every vector in V {\displaystyle V} can be written uniquely as a finite linear combination of vectors ... (Linear algebra) [81%] 2023-06-10
Frame (linear algebra): In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the terminology of signal processing, a frame provides a redundant, stable way ... (Linear algebra) [81%] 2024-02-17 [Linear algebra] [Differential geometry]...
Minor (linear algebra): In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns. Minors obtained by removing just one row and one ... (Linear algebra) [81%] 2023-11-19 [Matrix theory] [Determinants]...
Complement (linear algebra): In linear algebra, a complement to a subspace of a vector space is another subspace which forms an internal direct sum. Two such spaces are mutually complementary. (Linear algebra) [81%] 2023-07-19
Numerical linear algebra: Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. It is a subfield of numerical ... (Field of mathematics) [81%] 2024-01-20 [Numerical linear algebra] [Computational fields of study]...
Projection (linear algebra): In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism) such that P ∘ P = P {\displaystyle P\circ P=P} . That is, whenever P {\displaystyle P} is ... (Linear algebra) [81%] 2024-04-09 [Functional analysis] [Linear algebra]...
Quadratic-linear algebra: In mathematics, a quadratic-linear algebra is an algebra over a field with a presentation such that all relations are sums of monomials of degrees 1 or 2 in the generators. They were introduced by Polishchuk and Positselski (2005, p ... [81%] 2024-10-13 [Algebra]
International Linear Algebra Society: The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, publications, prizes and lectures. [70%] 2024-01-26 [Linear algebra] [Matrix theory]...
Quotient space (linear algebra): In linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace N {\displaystyle N} is a vector space obtained by "collapsing" N {\displaystyle N} to zero. The space obtained is called a quotient space and is ... (Linear algebra) [70%] 2024-01-26 [Functional analysis] [Linear algebra]...
Basic Linear Algebra Subprograms: Basic Linear Algebra Subprograms (BLAS), en español Subprogramas Básicos de Álgebra Lineal, es una especificación que define un conjunto de rutinas de bajo nivel para realizar operaciones comunes de álgebra lineal tales como la suma de vectores, multiplicación escalar, producto ... [70%] 2024-01-20
Lis (linear algebra library): Lis (Library of Iterative Solvers for linear systems, pronounced ) is a scalable parallel software library for solving discretized linear equations and eigenvalue problems that mainly arise in the numerical solution of partial differential equations by using iterative methods. Although it ... (Software) [70%] 2023-12-13 [Numerical libraries] [Numerical linear algebra]...
International Linear Algebra Society: The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, publications, prizes and lectures. (Organization) [70%] 2023-12-14 [Linear algebra] [Matrix theory]...