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searching for Coefficient matrix 54 found (72 total)

Sylvester's law of inertia (1,431 words) [view diff] exact match in snippet view article find links to article

inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant under a change of basis

Stone's method (474 words) [view diff] exact match in snippet view article find links to article

solver. The biggest disadvantage is that it fails to take advantage of coefficient matrix to be a sparse matrix. The LU decomposition of a sparse matrix is

Chebyshev iteration (344 words) [view diff] exact match in snippet view article find links to article

is that the method requires enough knowledge about spectrum of the coefficient matrix A, that is an upper estimate for the upper eigenvalue and lower estimate

Matrix-free methods (465 words) [view diff] exact match in snippet view article find links to article

system of equations or an eigenvalue problem that does not store the coefficient matrix explicitly, but accesses the matrix by evaluating matrix-vector products

Unimodular matrix (1,884 words) [view diff] exact match in snippet view article find links to article

The unoriented incidence matrix of a bipartite graph, which is the coefficient matrix for bipartite matching, is totally unimodular (TU). (The unoriented

Quantization (image processing) (1,454 words) [view diff] exact match in snippet view article

bandwidth than a full quantizer matrix. This is an example of DCT coefficient matrix: [ − 415 − 33 − 58 35 58 − 51 − 15 − 12 5 − 34 49 18 27 1 − 5 3 −

Nonlinear conjugate gradient method (1,211 words) [view diff] exact match in snippet view article find links to article

gradient as the solution of a linear system of equations, with the coefficient matrix being the exact Hessian matrix (for Newton's method proper) or an

ABS methods (602 words) [view diff] exact match in snippet view article find links to article

solution of linear Diophantine systems, i.e. equation systems where the coefficient matrix and the right hand side are integer valued and an integer solution

Matrix regularization (2,510 words) [view diff] exact match in snippet view article find links to article

is the dot product of one row of the input with one column of the coefficient matrix. The familiar form of such models is Y = X W + b {\displaystyle Y=XW+b}

XOR-SAT (559 words) [view diff] no match in snippet view article find links to article

In computational complexity, XOR-SAT (also known as XORSAT) is the class of boolean satisfiability problems where each clause contains XOR (i.e. exclusive

Fast Kalman filter (1,398 words) [view diff] exact match in snippet view article find links to article

matrix inversion from the respective system of Normal Equations. Its coefficient matrix is usually sparse and the exact solution of all the estimated parameters

Schur complement (2,910 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} is zero, we can eliminate the associated rows of the coefficient matrix without any changes to the rest of the output vector. If v {\displaystyle

Incomplete LU factorization (872 words) [view diff] exact match in snippet view article find links to article

(1977). "An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix". Mathematics of Computation. 31 (137): 148–162

JPEG (13,561 words) [view diff] exact match in snippet view article find links to article

quantized DCT coefficients. Using this quantization matrix with the DCT coefficient matrix from above results in: B = [ − 26 − 3 − 6 2 2 − 1 0 0 0 − 2 − 4 1

K-SVD (1,308 words) [view diff] exact match in snippet view article find links to article

k-SVD algorithm, the D {\displaystyle D} is first fixed and the best coefficient matrix X {\displaystyle X} is found. As finding the truly optimal X {\displaystyle

Ken-Ichi Inada (277 words) [view diff] case mismatch in snippet view article find links to article

2307/1912796. JSTOR 1912796. Inada, Ken-Ichi (1971). "The Production Coefficient Matrix and the Stolper-Samuelson Condition". Econometrica. 39 (2): 219–239

Balanced matrix (868 words) [view diff] exact match in snippet view article find links to article

of balanced matrices. For example, balanced matrices arise as the coefficient matrix in special cases of the set partitioning problem. An alternative method

Array programming (2,610 words) [view diff] no match in snippet view article find links to article

matrices. As in the scalar equivalent, if the (determinant of the) coefficient (matrix) A is not null then it is possible to solve the (vectorial) equation

Runge–Kutta methods (7,400 words) [view diff] exact match in snippet view article find links to article

goes up to i − 1. This also shows up in the Butcher tableau: the coefficient matrix a i j {\displaystyle a_{ij}} of an explicit method is lower triangular

Upwind differencing scheme for convection (986 words) [view diff] exact match in snippet view article find links to article

positive hence satisfying the requirements for boundedness and also the coefficient matrix is diagonally dominant therefore no irregularities occur in the solution

Henk van der Vorst (694 words) [view diff] case mismatch in snippet view article find links to article

(1977), "An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix", Math. Comp., 31 (137): 148–162, doi:10.2307/2005786

Detailed balance (6,465 words) [view diff] exact match in snippet view article find links to article

_{j}^{\rm {eq}}}{T}};\;\;{\frac {dN_{i}}{dt}}=\sum _{j}L_{ij}X_{j}} The coefficient matrix L i j {\displaystyle L_{ij}} is symmetric: L i j = − V R ∑ r w r e

Green–Kubo relations (1,991 words) [view diff] exact match in snippet view article find links to article

simultaneously, the fluxes and forces will be related by a linear transport coefficient matrix. Except in special cases, this matrix is symmetric as expressed in

H.262/MPEG-2 Part 2 (2,598 words) [view diff] exact match in snippet view article find links to article

the original image but is not quite the same. Next, the quantized coefficient matrix is itself compressed. Typically, one corner of the 8×8 array of coefficients

Quadratic form (4,600 words) [view diff] exact match in snippet view article find links to article

(x)=\varphi (Cx).} Let the characteristic of K be different from 2. The coefficient matrix A of q may be replaced by the symmetric matrix (A + AT)/2 with the

Input–output model (4,075 words) [view diff] exact match in snippet view article find links to article

matrix B = [ b i j ] {\displaystyle B=[b_{ij}]} is called the capital coefficient matrix. From (2) and (3), we obtain the following expression for y I {\displaystyle

Power iteration (2,487 words) [view diff] exact match in snippet view article find links to article

matrix, or as the matrix-free method that does not require storing the coefficient matrix A {\displaystyle A} explicitly, but can instead access a function

Preconditioner (3,511 words) [view diff] exact match in snippet view article find links to article

be used as matrix-free methods, i.e. become the only choice if the coefficient matrix A {\displaystyle A} is not stored explicitly, but is accessed by evaluating

Block matrix (5,122 words) [view diff] exact match in snippet view article find links to article

algorithms for equation systems with a block tridiagonal matrix as coefficient matrix. The Thomas algorithm, used for efficient solution of equation systems

Partial differential equation (6,800 words) [view diff] exact match in snippet view article find links to article

classification depends upon the signature of the eigenvalues of the coefficient matrix ai,j. Elliptic: the eigenvalues are all positive or all negative.

Successive over-relaxation (3,185 words) [view diff] exact match in snippet view article find links to article

ω is not necessarily easy, and depends upon the properties of the coefficient matrix. In 1947, Ostrowski proved that if A {\displaystyle A} is symmetric

Hückel method (7,290 words) [view diff] exact match in snippet view article find links to article

c_{n})} to the above system of linear equations can only exist if the coefficient matrix [ H i j − E S i j ] {\displaystyle [H_{ij}-ES_{ij}]} is singular.

Diffusion (8,673 words) [view diff] exact match in snippet view article find links to article

.} Here, D i j {\displaystyle D_{ij}} is the diffusion coefficient matrix, D i ( T ) {\displaystyle D_{i}^{(T)}} is the thermal diffusion coefficient

Compressed sensing (5,874 words) [view diff] exact match in snippet view article find links to article

modeled as underdetermined systems of linear equations where the coefficient matrix is the network routing matrix. Moreover, in the Internet, network

Durand–Kerner method (3,080 words) [view diff] exact match in snippet view article find links to article

Choosing a basis, the multiplication operator is represented by its coefficient matrix A, the companion matrix of ƒ(X) for this basis. Since every polynomial

List of statistics articles (8,280 words) [view diff] case mismatch in snippet view article find links to article

of infectious disease Mathematical statistics Matthews correlation coefficient Matrix gamma distribution Matrix normal distribution Matrix population models

Affine arithmetic (2,588 words) [view diff] exact match in snippet view article find links to article

affine forms for those quantities can be represented by a single coefficient matrix A and a vector b, where element A i , j {\displaystyle A_{i,j}} is

Fisher information (7,376 words) [view diff] exact match in snippet view article find links to article

this case the Fisher information matrix may be identified with the coefficient matrix of the normal equations of least squares estimation theory. Another

Inductance (8,821 words) [view diff] exact match in snippet view article find links to article

)}{\sum _{j=1}^{N}\mathbf {C} _{ij}}}\end{aligned}}} where coupling coefficient matrix and its cofactors are defined as K = [ 1 k 12 ⋯ k 1 N k 12 1 ⋯ k 2

Matrix differential equation (2,732 words) [view diff] exact match in snippet view article find links to article

I_{n}} , multiplied by some constant λ, is subtracted from the above coefficient matrix to yield the characteristic polynomial of it, det ( [ 3 − 4 4 − 7

Stiff equation (3,802 words) [view diff] exact match in snippet view article find links to article

another). Explicit Runge–Kutta methods have a strictly lower triangular coefficient matrix A {\displaystyle \mathbf {A} } and thus, their stability function

Douglas A. Lawson (1,403 words) [view diff] exact match in snippet view article find links to article

community matrix by producing a symmetrical matrix from the correlation coefficient matrix of the spatial distribution of individual species members. This augmented

Magnus expansion (3,496 words) [view diff] exact match in snippet view article find links to article

involve multiple integrals and nested commutators. Given the n × n coefficient matrix A(t), one wishes to solve the initial-value problem associated with

Computable general equilibrium (3,693 words) [view diff] exact match in snippet view article find links to article

day of production are shown in the columns of the following input coefficient matrix: A ( u ) = [ 8 6 1 4 2 1.5 2 1.5 0.5 ] {\displaystyle \mathbf {A}

LOBPCG (4,443 words) [view diff] exact match in snippet view article find links to article

analyzed in and. Source: Matrix-free, i.e. does not require storing the coefficient matrix explicitly, but can access the matrix by evaluating matrix-vector

Heat equation (9,878 words) [view diff] exact match in snippet view article find links to article

equal to thermal conductivity k. In the anisotropic case where the coefficient matrix A is not scalar and/or if it depends on x, then an explicit formula

Conjugate gradient method (8,421 words) [view diff] exact match in snippet view article find links to article

grid yields a 25 × 25 {\displaystyle 25\times 25} system, and the coefficient matrix A {\displaystyle A} has a five-point stencil pattern. Each row of

Matrix exponential (10,481 words) [view diff] exact match in snippet view article find links to article

Multiply each exponentiated eigenvalue by the corresponding undetermined coefficient matrix Bi. If the eigenvalues have an algebraic multiplicity greater than

Linear belief function (3,955 words) [view diff] exact match in snippet view article find links to article

of Y is b and the conditional variance is 0. Also, the regression coefficient matrix is A. Note that the knowledge to be represented in linear equations

Glossary of calculus (10,926 words) [view diff] exact match in snippet view article find links to article

expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the column

Vladimir Mazya (7,002 words) [view diff] exact match in snippet view article find links to article

monograph, giving a detailed study of a priori estimates of constant coefficient matrix differential operators defined on ℝn×(0,+∞], with n ≥ 1: translated

Decoherence-free subspaces (4,226 words) [view diff] exact match in snippet view article find links to article

Hilbert space. Under the assumptions that: the noise parameters of the coefficient matrix of the Lindblad decohering term are not fine-tuned (i.e. no special

Facet theory (6,948 words) [view diff] exact match in snippet view article find links to article

similar they are. A common example is the computation of a correlation-coefficient matrix from input data, where the size of a correlation coefficient between

Progressive-iterative approximation method (8,005 words) [view diff] exact match in snippet view article find links to article

inverse method. In each iteration step, the approximate inverse of the coefficient matrix of the least-squares fitting problem is first computed and then used