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An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating...

by a method called the inverse scattering transform, which reduces the nonlinear PDEs to a linear inverse scattering problem. The nonlinear Schrödinger...

kinematic animation problem uses the kinematics equations to determine the pose given the joint angles. The inverse kinematics problem computes the joint...

has the largest (or smallest) value if such a point exists. Linear programs are problems that can be expressed in standard form as Find a vector x that...

of regularization of ill-posed problems. It is particularly useful to mitigate the problem of multicollinearity in linear regression, which commonly occurs...

triangular matrix R. QR decomposition is often used to solve the linear least squares (LLS) problem and is the basis for a particular eigenvalue algorithm, the...

solutions. A modular multiplicative inverse of an integer a with respect to the modulus m is a solution of the linear congruence a x ≡ 1 ( mod m ) . {\displaystyle...

In mathematics, and in particular linear algebra, the Moore–Penrose inverse ⁠ A + {\displaystyle A^{+}} ⁠ of a matrix ⁠ A {\displaystyle A} ⁠, often called...

is an algorithm to solve ill-posed linear inverse problems, and it has been extended to solve non-linear problems that involve constraints. The method...

object by solving a nonlinear inverse problem. The nonlinear inverse problem is converted into a linear inverse problem (i.e., Ax=b where A and b are...

In mathematics, the inverse scattering transform is a method that solves the initial value problem for a nonlinear partial differential equation using...

Mathematically, the problem of recovering conductivity from surface measurements of current and potential is a non-linear inverse problem and is severely...

problem. Various generalizations of Euler's problem are known; these generalizations add linear and inverse cubic forces and up to five centers of force...

variance) is a parameter-free superresolution algorithm for the linear inverse problem in spectral estimation, direction-of-arrival (DOA) estimation and...

of a linear space with a basis. Arthur Cayley introduced matrix multiplication and the inverse matrix in 1856, making possible the general linear group...

The objective of mathematical analysis of inverse modeling is to cast the generalized linear inverse problem into a simple matrix algebra by considering...

the inverse model, f → − 1 {\displaystyle {\vec {f}}^{-1}} . If the problem is linear we can use some type of matrix inverse method—often the problem is...

irradiance) of light or other linear waves radiating from a point source (energy per unit of area perpendicular to the source) is inversely proportional to the...

generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model...

In linear algebra, a constrained generalized inverse is obtained by solving a system of linear equations with an additional constraint that the solution...