Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Matrix_calculus> ?p ?o }
- Matrix_calculus abstract "In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various partial derivatives of a single function with respect to many variables, and/or of a multivariate function with respect to a single variable, into vectors and matrices that can be treated as single entities. This greatly simplifies operations such as finding the maximum or minimum of a multivariate function and solving systems of differential equations. The notation used here is commonly used in statistics and engineering, while the tensor index notation is preferred in physics.Two competing notational conventions split the field of matrix calculus into two separate groups. The two groups can be distinguished by whether they write the derivative of a scalar with respect to a vector as a column vector or a row vector. Both of these conventions are possible even when the common assumption is made that vectors should be treated as column vectors when combined with matrices (rather than row vectors). A single convention can be somewhat standard throughout a single field that commonly use matrix calculus (e.g. econometrics, statistics, estimation theory and machine learning). However, even within a given field different authors can be found using competing conventions. Authors of both groups often write as though their specific convention is standard. Serious mistakes can result when combining results from different authors without carefully verifying that compatible notations are used. Therefore, great care should be taken to ensure notational consistency. Definitions of these two conventions and comparisons between them are collected in the layout conventions section.".
- Matrix_calculus wikiPageExternalLink MPRA_paper_1239.pdf.
- Matrix_calculus wikiPageExternalLink MatrixCalculus.pdf.
- Matrix_calculus wikiPageExternalLink matrixid.pdf.
- Matrix_calculus wikiPageExternalLink matrixdiff.pdf.
- Matrix_calculus wikiPageExternalLink ANN3.pdf.
- Matrix_calculus wikiPageExternalLink calculus.html.
- Matrix_calculus wikiPageExternalLink MatCalc.pdf.
- Matrix_calculus wikiPageExternalLink slide.pdf.
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- Matrix_calculus wikiPageWikiLink Acceleration.
- Matrix_calculus wikiPageWikiLink Calculus.
- Matrix_calculus wikiPageWikiLink Category:Linear_algebra.
- Matrix_calculus wikiPageWikiLink Category:Matrix_theory.
- Matrix_calculus wikiPageWikiLink Category:Multivariable_calculus.
- Matrix_calculus wikiPageWikiLink Chain_rule.
- Matrix_calculus wikiPageWikiLink Conjugate_transpose.
- Matrix_calculus wikiPageWikiLink Derivative.
- Matrix_calculus wikiPageWikiLink Derivative_of_the_exponential_map.
- Matrix_calculus wikiPageWikiLink Determinant.
- Matrix_calculus wikiPageWikiLink Differential_equation.
- Matrix_calculus wikiPageWikiLink Directional_derivative.
- Matrix_calculus wikiPageWikiLink Dual_space.
- Matrix_calculus wikiPageWikiLink Econometrics.
- Matrix_calculus wikiPageWikiLink Einstein_notation.
- Matrix_calculus wikiPageWikiLink Electric_field.
- Matrix_calculus wikiPageWikiLink Electric_potential.
- Matrix_calculus wikiPageWikiLink Engineering.
- Matrix_calculus wikiPageWikiLink Estimation_theory.
- Matrix_calculus wikiPageWikiLink Euclidean_space.
- Matrix_calculus wikiPageWikiLink Euclidean_vector.
- Matrix_calculus wikiPageWikiLink Expectation–maximization_algorithm.
- Matrix_calculus wikiPageWikiLink Fréchet_derivative.
- Matrix_calculus wikiPageWikiLink Functional_analysis.
- Matrix_calculus wikiPageWikiLink Generalizations_of_the_derivative.
- Matrix_calculus wikiPageWikiLink Generalized_inverse.
- Matrix_calculus wikiPageWikiLink Gradient.
- Matrix_calculus wikiPageWikiLink Hadamard_product_(matrices).
- Matrix_calculus wikiPageWikiLink Imperial_College_London.
- Matrix_calculus wikiPageWikiLink Jacobian_matrix_and_determinant.
- Matrix_calculus wikiPageWikiLink Kalman_filter.
- Matrix_calculus wikiPageWikiLink Kronecker_product.
- Matrix_calculus wikiPageWikiLink Lagrange_multiplier.
- Matrix_calculus wikiPageWikiLink Machine_learning.
- Matrix_calculus wikiPageWikiLink Mathematics.
- Matrix_calculus wikiPageWikiLink Matrix_(mathematics).
- Matrix_calculus wikiPageWikiLink Maximum_likelihood.
- Matrix_calculus wikiPageWikiLink Multivariable_calculus.
- Matrix_calculus wikiPageWikiLink Multivariate_normal_distribution.
- Matrix_calculus wikiPageWikiLink North_Carolina_State_University.
- Matrix_calculus wikiPageWikiLink Parametric_equation.
- Matrix_calculus wikiPageWikiLink Partial_derivative.
- Matrix_calculus wikiPageWikiLink Physics.
- Matrix_calculus wikiPageWikiLink Polynomial.
- Matrix_calculus wikiPageWikiLink Position_(vector).
- Matrix_calculus wikiPageWikiLink Product_integral.
- Matrix_calculus wikiPageWikiLink Product_rule.
- Matrix_calculus wikiPageWikiLink Pushforward_(differential).
- Matrix_calculus wikiPageWikiLink Real_number.
- Matrix_calculus wikiPageWikiLink Ricci_calculus.
- Matrix_calculus wikiPageWikiLink Row_and_column_vectors.
- Matrix_calculus wikiPageWikiLink Scalar_(mathematics).
- Matrix_calculus wikiPageWikiLink Smoothness.
- Matrix_calculus wikiPageWikiLink Statistics.
- Matrix_calculus wikiPageWikiLink Sum_rule_in_differentiation.
- Matrix_calculus wikiPageWikiLink Symmetric_matrix.
- Matrix_calculus wikiPageWikiLink Tangent_vector.
- Matrix_calculus wikiPageWikiLink Taylor_series.
- Matrix_calculus wikiPageWikiLink Tensor.
- Matrix_calculus wikiPageWikiLink Trace_(linear_algebra).
- Matrix_calculus wikiPageWikiLink Transpose.
- Matrix_calculus wikiPageWikiLink University_of_Edinburgh.
- Matrix_calculus wikiPageWikiLink Vector-valued_function.
- Matrix_calculus wikiPageWikiLink Vector_calculus.
- Matrix_calculus wikiPageWikiLink Velocity.
- Matrix_calculus wikiPageWikiLink Wiener_filter.
- Matrix_calculus wikiPageWikiLinkText "Matrix calculus".
- Matrix_calculus wikiPageWikiLinkText "derivative of a scalar with respect to a vector".
- Matrix_calculus wikiPageWikiLinkText "derivative".
- Matrix_calculus wikiPageWikiLinkText "derivatives".
- Matrix_calculus wikiPageWikiLinkText "differentiating".
- Matrix_calculus wikiPageWikiLinkText "gradient matrix rules".
- Matrix_calculus wikiPageWikiLinkText "matrix calculus".
- Matrix_calculus wikiPageWikiLinkText "matrix derivative".
- Matrix_calculus wikiPageWikiLinkText "matrix".
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- Matrix_calculus wikiPageUsesTemplate Template:Refend.
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- Matrix_calculus subject Category:Linear_algebra.
- Matrix_calculus subject Category:Matrix_theory.
- Matrix_calculus subject Category:Multivariable_calculus.