diagonal decomposition

  • 81Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …

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  • 82Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …

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  • 83Linear least squares — is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the… …

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  • 84Moore-Penrose pseudoinverse/Proofs — Existence and Uniqueness =Let A be an m by n matrix over K , where K is either the field of real numbers or the field of complex numbers. Then there is a unique n by m matrix A^+ over K such that: #A A^+A = A #A^+A A^+ = A^+ #(AA^+)^* = AA^+… …

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  • 85Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …

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  • 86N2 chart — N 2 chart example.[1] The N 2 chart, also referred to as N 2 diagram, N squared diagram or N squared chart, is a diagram in the shape of a matrix, representing functional or physical interfaces betwe …

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  • 87Stone method — Stone s method, also known as the strongly implicit procedure or SIP, is an algorithm for solving a sparse linear system of equations. The method uses an incomplete LU decomposition, which approximates the exact LU decomposition, to get an… …

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  • 88Théorème des facteurs invariants — En mathématiques, le théorème des facteurs invariants porte sur les modules de type fini sur les anneaux principaux. Les facteurs invariants sont des obstructions à l inversibilité des matrices qui n apparaissent pas dans la théorie des espaces… …

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  • 89N2 Chart — The N2 Chart, also referred to as N2 Diagram and N Squared Diagram , is a diagram in the shape of a matrix, representing functional or physical interfaces between system elements. It is used to systematically identify, define, tabulate, design,… …

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  • 90Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …

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