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Matrix calculus

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…

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Notation

Derivatives with vectors

Layout conventions

Identities

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Software

Information

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Matrix calculus

Nodes82
Edges81
Triples59
Avg. degree1.98
Density0.02439
Components1

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Matrix calculus

Top relations

related to Information · 29
Matrix calculus → Barnes, Civil Engineering, Department, Econometrics, Edinburgh, Fackler, Heino Bohn Nielsen, Imperial College London, Introduction, Matrix Differential Calculus Archived, Matrix Differentiation, Matrix Identities, Matrix Reference Manual, Mike Brookes, Minnesota, Munich Personal RePEc Archive, North Carolina State University, Notes, Paul, Pawel Koval
related to Alternatives · 7
Matrix calculus → All, Also, Einstein, However, It, Note, The
related to Layout conventions · 5
Matrix calculus → After, Although, If, The, This
related to Scope · 5
Matrix calculus → As, Each, For, In, Matrix
related to Software · 5
Matrix calculus → Mathematica, MatrixCalculus, Penrose, Supports, Tensorgrad
related to Usages · 5
Matrix calculus → Gaussian, Kalman, Lagrange, Matrix, This
is a · 1
Matrix calculus → specialized notation for doing multivariable calculus

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Important terminology

matrix layout vector derivative calculus numerator derivatives scalar matrices displaystyle mathbf notation partial conventions respect frac used vectors gradient function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Matrix calculusis aspecialized notation for doing multivariable calculus0.90text
finding the maximum or minimum of a multivariate functioninstance ofThis greatly simplifies operations0.80text
solving systems of differential equationsinstance ofThis greatly simplifies operations0.80text
Matrix calculusrelated to AlternativesThe0.60section
Matrix calculusrelated to AlternativesEinstein0.60section
Matrix calculusrelated to AlternativesIt0.60section
Matrix calculusrelated to AlternativesAll0.60section
Matrix calculusrelated to AlternativesHowever0.60section
Matrix calculusrelated to AlternativesAlso0.60section
Matrix calculusrelated to AlternativesNote0.60section
Matrix calculusrelated to InformationMatrix Reference Manual0.60section
Matrix calculusrelated to InformationMike Brookes0.60section

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