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Jacobian matrix and determinant

💡 Words with a Similar Meaning to "Jacobian matrix and determinant"

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WordDefinition
hessian matrixnoun(mathematics) The square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.
coefficient matrixnoun(linear algebra) A matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations.
matrix calculusIn mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices.
matrix normIn the field of mathematics, norms are defined for elements within a vector space.
partial differential equationnoun(calculus) A differential equation that involves the partial derivatives of a function of several variables.
matrix analysisIn mathematics, particularly in linear algebra and applications, matrix analysis is the study of matrices and their algebraic properties.
jacobi's formulaIn matrix calculus, Jacobi's formula expresses the derivative of the determinant of a matrix A in terms of the adjugate of A and the derivative of A., Part Three, Section 8.3
jacobi methodIn numerical linear algebra, the (a.k.a. the Jacobi iteration method) an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations.
structure tensorIn mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function.
matrix decompositionnoun(mathematics) A process by which a matrix (a rectangular table of numbers or abstract quantities that can be added and multiplied) is broken down into simpler numerical building blocks.
gradientnounA slope or incline.
outer productnoun(mathematics, linear algebra) The tensor product of two vectors.
differential equationnoun(calculus) An equation involving the derivatives of a function.
integro-differential equationIn mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function.
tracenounAn act of tracing.
commutation matrixIn mathematics, especially in linear algebra and matrix theory, the commutation matrix is used for transforming the vectorized form of a matrix into the vectorized form of its transpose.
second derivativenoun(calculus) The derivative of the derivative of a function.
jacobi eigenvalue algorithmIn numerical linear algebra, the Jacobi eigenvalue algorithm is an iterative method for the calculation of the eigenvalues and eigenvectors of a real symmetric matrix (a process known as diagonalization).
partial derivativenoun(mathematics) A derivative with respect to one variable of a function of several variables with the other variables held constant.
pseudo-determinantIn linear algebra and statistics, the pseudo-determinant PDF is the product of all non-zero eigenvalues of a square matrix.

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