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fundamental solution matrix

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  • State-transition matrix — In control theory, the state transition matrix is a matrix whose product with the state vector x at an initial time t 0 gives x at a later time t. The state transition matrix can be used to obtain the general solution of linear dynamical… …   Wikipedia

  • Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …   Wikipedia

  • Fundamental theorem of algebra — In mathematics, the fundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.Sometimes,… …   Wikipedia

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Matrix method — The matrix method is a structural analysis method used as a fundamental principle in many applications in civil engineering. The method is carried out, using either a stiffness matrix or a flexibility matrix. The flexibility method is not… …   Wikipedia

  • Fundamental theorem of linear algebra — In mathematics, the fundamental theorem of linear algebra makes several statements regarding vector spaces. These may be stated concretely in terms of the rank r of an m times; n matrix A and its LDU factorization::PA=LDUwherein P is a… …   Wikipedia

  • Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… …   Wikipedia

  • Green's matrix — In mathematics, and in particular ordinary differential equations, a Green s matrix helps to determine a particular solution to a first order inhomogeneous linear system of ODEs.For instance, consider x =A(t)x+g(t), where x, is a vector and A(t) …   Wikipedia

  • Essential matrix — In computer vision, the essential matrix is a 3 imes 3 matrix mathbf{E} , with some additional properties, which relates corresponding points in stereo images assuming that the cameras satisfy the pinhole camera model.FunctionMore specifically,… …   Wikipedia

  • Jordan matrix — In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… …   Wikipedia

  • In-place matrix transposition — In place matrix transposition, also called in situ matrix transposition, is the problem of transposing an N imes M matrix in place in computer memory: ideally with O(1) (bounded) additional storage, or at most with additional storage much less… …   Wikipedia

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