AbstractThe first derivative of the determinant function is given by the well-known Jacobi’s formula. We obtain three different expressions for all higher order derivatives. Norms of these derivatives are then evaluated exactly
Explicit formulas for the coefficients of nite difference approximations of first and higher derivat...
Second- and higher-order derivatives are required by applications in scientic computation, espe-cial...
10.1006/jmaa.1995.1005Journal of Mathematical Analysis and Applications189185-10
The first derivative of the determinant function is given by the well-known Jacobi's formula. We obt...
AbstractThe first derivative of the determinant function is given by the well-known Jacobi’s formula...
Tese de doutoramento, Matemática (Álgebra Lógica e Fundamentos), Universidade de Lisboa, Faculdade d...
Jacobi's results on the computation of the order and of the normal forms of a differential system ar...
The concept of higher order derivatives is useful in many branches of mathematics and its applicatio...
AbstractIn this paper we offer very general Opial-type inequalities involving higher order derivativ...
AbstractWe present new formulae (the Slevinsky–Safouhi formulae I and II) for the analytical develop...
This method is based on the well known Leibnitz’s and product rule; it does not require the lower or...
AbstractDeterminants of higher derivatives of composite functions are evaluated as limits of the cor...
AbstractPerturbation expansions and new perturbation bounds for the matrix sign function are derived...
AbstractFaà di Bruno’s formula is the higher chain rule for differentiation. By means of Gessel’s q-...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
Explicit formulas for the coefficients of nite difference approximations of first and higher derivat...
Second- and higher-order derivatives are required by applications in scientic computation, espe-cial...
10.1006/jmaa.1995.1005Journal of Mathematical Analysis and Applications189185-10
The first derivative of the determinant function is given by the well-known Jacobi's formula. We obt...
AbstractThe first derivative of the determinant function is given by the well-known Jacobi’s formula...
Tese de doutoramento, Matemática (Álgebra Lógica e Fundamentos), Universidade de Lisboa, Faculdade d...
Jacobi's results on the computation of the order and of the normal forms of a differential system ar...
The concept of higher order derivatives is useful in many branches of mathematics and its applicatio...
AbstractIn this paper we offer very general Opial-type inequalities involving higher order derivativ...
AbstractWe present new formulae (the Slevinsky–Safouhi formulae I and II) for the analytical develop...
This method is based on the well known Leibnitz’s and product rule; it does not require the lower or...
AbstractDeterminants of higher derivatives of composite functions are evaluated as limits of the cor...
AbstractPerturbation expansions and new perturbation bounds for the matrix sign function are derived...
AbstractFaà di Bruno’s formula is the higher chain rule for differentiation. By means of Gessel’s q-...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
Explicit formulas for the coefficients of nite difference approximations of first and higher derivat...
Second- and higher-order derivatives are required by applications in scientic computation, espe-cial...
10.1006/jmaa.1995.1005Journal of Mathematical Analysis and Applications189185-10
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