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Matrix method information


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.

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Matrix method

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The matrix method is a structural analysis method used as a fundamental principle in many applications in civil engineering. The method is carried out...

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Distance matrix

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mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise...

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Direct stiffness method

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As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated...

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Ray transfer matrix analysis

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Ray transfer matrix analysis (also known as ABCD matrix analysis) is a mathematical form for performing ray tracing calculations in sufficiently simple...

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Chemical equation

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be expressed as a single matrix equation: Aν = 0 Like previously, any nonzero stoichiometric vector ν, which solves the matrix equation, will balance the...

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Iterative method

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^{k}\quad \forall \,k\geq 0} and this matrix is called the iteration matrix. An iterative method with a given iteration matrix C {\displaystyle C} is called convergent...

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Eigendecomposition of a matrix

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algebra, eigendecomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors...

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Identity matrix

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Binary matrix (zero-one matrix) Elementary matrix Exchange matrix Matrix of ones Pauli matrices (the identity matrix is the zeroth Pauli matrix) Householder...

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Invertible matrix

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n-by-n square matrix A is called invertible (also nonsingular, nondegenerate or rarely regular) if there exists an n-by-n square matrix B such that A...

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Matrix analytic method

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In probability theory, the matrix analytic method is a technique to compute the stationary probability distribution of a Markov chain which has a repeating...

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Orthogonal matrix

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In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...

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Oberheim Matrix synthesizers

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called "Matrix Modulation" as a method of selecting and routing elements that dynamically shape various aspects of the sounds it produces. Matrix synthesizers...

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Distance matrices in phylogeny

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in phylogeny as non-parametric distance methods and were originally applied to phenetic data using a matrix of pairwise distances. These distances are...

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Matrix geometric method

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In probability theory, the matrix geometric method is a method for the analysis of quasi-birth–death processes, continuous-time Markov chain whose transition...

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Mueller calculus

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Mueller calculus is a matrix method for manipulating Stokes vectors, which represent the polarization of light. It was developed in 1943 by Hans Mueller...

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Euclidean algorithm

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qktk−1) b. The integers s and t can also be found using an equivalent matrix method. The sequence of equations of Euclid's algorithm a = q 0 b + r 0 b =...

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Quaternions and spatial rotation

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zero or very small. For a stable method of converting an orthogonal matrix to a quaternion, see the Rotation matrix#Quaternion. The above section described...

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Crout matrix decomposition

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permutation matrix (P). It was developed by Prescott Durand Crout. The Crout matrix decomposition algorithm differs slightly from the Doolittle method. Doolittle's...

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