biorthogonal system

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• Biorthogonal system — In mathematics, a biorthogonal system is a pair of topological vector spaces E and F that are in duality, with a pair of indexed subsets: ilde v i in E and ilde u i in F such that: langle ilde v i , ilde u j angle = delta {i,j}with the Kronecker… …   Wikipedia

• LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… …   Wikipedia

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• Orthogonalization — In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1,...,vk} in an inner product space (most commonly the… …   Wikipedia

• Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… …   Wikipedia

• Méthode du gradient biconjugué — En mathématiques, plus spécifiquement en analyse numérique, la méthode du gradient biconjugué est un algorithme permettant de résoudre un système d équations linéaires Contrairement à la méthode du gradient conjugué, cet algorithme ne nécessite… …   Wikipédia en Français

• Wavelet — A wavelet is a mathematical function used to divide a given function or continuous time signal into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a… …   Wikipedia

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• Orthogonal polynomials — In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the… …   Wikipedia

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• 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