Inverse eigenvalue problem of unitary Hessenberg matrices.
Inverse interval matrix: a survey.
Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.
Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.
A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.
Inverse spectral problems for tridiagonal by complex Hamiltonians.
Inversion des matrices de Toeplitz dont le symbole admet un zéro d’ordre rationnel positif, valeur propre minimale
Cet article présente trois résultats distincts. Dans une première partie nous donnons l’asymptotique quand tend vers l’infini des coefficients des polynômes orthogonaux de degré associés au poids , où est une fonction strictement positive suffisamment régulière et . Nous en déduisons l’asymptotique des éléments de l’inverse de la matrice de Toeplitz au moyen d’un noyau intégral Nous prolongeons ensuite un résultat de A. Böttcher et H. Windom relatif à l’asymptotique de la valeur propre...
Inversion d’un opérateur de Toeplitz tronqué à symbole matriciel et théorèmes-limite de Szegö
Ce travail est une étude théorique d’opérateurs de Toeplitz dont le symbole est une fonction matricielle régulière définie positive partout sur le tore à une dimension. Nous proposons d’abord une formule d’inversion exacte pour un opérateur de Toeplitz à symbole matriciel, démontrée au moyen d’un théorème établi en annexe et donnant la solution du problème de la prédiction relatif à un passé fini pour un processus stationnaire du second ordre. Nous établissons ensuite, à partir de cet inverse, un...
Inversion of partitioned matrices in investigation of the twoepoch linear model with the nuisance parameters
The estimation procedures in the multiepoch (and specially twoepoch) linear regression models with the nuisance parameters that were described in [2], Chapter 9, frequently need finding the inverse of a partitioned matrix. We use different kinds of such inversion in dependence on simplicity of the result, similarly as in well known Rohde formula for partitioned matrix. We will show some of these formulas, also methods how to get the other formulas, and then we applicate the formulas in estimation...
Inversion of bilateral basic hypergeometric series.
Inversion of incidence mappings.
Inversion of square matrices in processors with limited calculation abillities
An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced and tested....
Inversion of Tridiagonal Matrices.
Invertible commutativity preservers of matrices over max algebra
The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.
Inverting covariance matrices
Some useful tools in modelling linear experiments with general multi-way classification of the random effects and some convenient forms of the covariance matrix and its inverse are presented. Moreover, the Sherman-Morrison-Woodbury formula is applied for inverting the covariance matrix in such experiments.
Investigating generalized quaternions with dual-generalized complex numbers
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values , and . Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.
Involutions and semiinvolutions
We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.
Involutions and trace forms on exterior powers of a central simple algebra.
Irreducibility of compound matrices
Irreducible algebraic sets of matrices with dominant restriction of the characteristic map
We collect certain useful lemmas concerning the characteristic map, -invariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.
Irreducible linear group-subgroup pairs with the same invariants.