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  2. Moore–Penrose inverse - Wikipedia

    en.wikipedia.org/wiki/Moore–Penrose_inverse

    Moore–Penrose inverse. In mathematics, and in particular linear algebra, the Moore–Penrose inverse ⁠ ⁠ of a matrix ⁠ ⁠, often called the pseudoinverse, is the most widely known generalization of the inverse matrix. [1] It was independently described by E. H. Moore in 1920, [2] Arne Bjerhammar in 1951, [3] and Roger Penrose in 1955. [4]

  3. Inverse problem - Wikipedia

    en.wikipedia.org/wiki/Inverse_problem

    General statement of the inverse problem. The inverse problem is the "inverse" of the forward problem: instead of determining the data produced by particular model parameters, we want to determine the model parameters that produce the data that is the observation we have recorded (the subscript obs stands for observed).

  4. Lucas–Kanade method - Wikipedia

    en.wikipedia.org/wiki/Lucas–Kanade_method

    In computer vision, the Lucas–Kanade method is a widely used differential method for optical flow estimation developed by Bruce D. Lucas and Takeo Kanade.It assumes that the flow is essentially constant in a local neighbourhood of the pixel under consideration, and solves the basic optical flow equations for all the pixels in that neighbourhood, by the least squares criterion.

  5. Linear least squares - Wikipedia

    en.wikipedia.org/wiki/Linear_least_squares

    Linear least squares (LLS) is the least squares approximation of linear functions to data. It is a set of formulations for solving statistical problems involved in linear regression, including variants for ordinary (unweighted), weighted, and generalized (correlated) residuals. Numerical methods for linear least squares include inverting the ...

  6. Block matrix pseudoinverse - Wikipedia

    en.wikipedia.org/wiki/Block_matrix_pseudoinverse

    Block matrix pseudoinverse. In mathematics, a block matrix pseudoinverse is a formula for the pseudoinverse of a partitioned matrix. This is useful for decomposing or approximating many algorithms updating parameters in signal processing, which are based on the least squares method.

  7. Pseudo-differential operator - Wikipedia

    en.wikipedia.org/wiki/Pseudo-differential_operator

    A pseudo-differential operator P (x, D) on Rn is an operator whose value on the function u (x) is the function of x: where is the Fourier transform of u and the symbol P (x,ξ) in the integrand belongs to a certain symbol class. For instance, if P (x,ξ) is an infinitely differentiable function on Rn × Rn with the property.

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