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orthogonal operator

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  • Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

  • Operator (mathematics) — This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… …   Wikipedia

  • Orthogonal frequency-division multiplexing — Passband modulation v · d · e Analog modulation AM · …   Wikipedia

  • Orthogonal complement — In the mathematical fields of linear algebra and functional analysis, the orthogonal complement W⊥ of a subspace W of an inner product space V is the set of all vectors in V that are orthogonal to every vector in W (Halmos 1974, p. 123):… …   Wikipedia

  • Householder operator — In Linear Algebra, define the Householder operator as follows.Let V, be a finite dimensional inner product space with unit vector uin V Then, the Householder operator is an operator H u : V o V, defined by: H u(x) = x 2langle x,u angle u, where… …   Wikipedia

  • Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …   Wikipedia

  • Normal operator — In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H (or equivalently in a C* algebra) is a continuous linear operator that commutes with its hermitian adjoint N*: Normal operators are important because… …   Wikipedia

  • Rotation operator (vector space) — This article derives the main properties of rotations in 3 dimensional space.The three Euler rotations is an obvious way to bring a rigid body into any desired orientation bysequentially making rotations about axis fixed relative the body. But it …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Kernel (linear operator) — Main article: Kernel (mathematics) In linear algebra and functional analysis, the kernel of a linear operator L is the set of all operands v for which L(v) = 0. That is, if L: V → W, then where 0 denotes the null vector… …   Wikipedia

  • Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… …   Wikipedia

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