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Positive definiteness of fourth-order partially symmetric tensors
In this paper, we consider the positive definiteness of fourth-order partially symmetric tensors. First, two analytically sufficient and necessary...
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Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma
In this paper we deal with theorems of the alternative for systems of inequalities. Precisely, we give a formulation that encompasses several known...
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The minimal measurement number for generalized conjugate phase retrieval
The generalized conjugate phase retrieval problem aims to reconstruct a complex signal
x ∈ ℂ n from quadratic measurementsx * A 1x ,…,x * A mx , where A 1 ,…... -
Linear Complementarity Problems and Bi-Linear Games
In this paper, we define bi-linear games as a generalization of the bimatrix games. In particular, we generalize concepts like the value and...
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Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences
In this paper a comprehensive analysis of the Horadam quaternion zeros for some new types of bivariate quadratic quaternion polynomial equations is...
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On Indecomposable Ideals Over Some Algebras
In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different...
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Regular Fractional Differential Equations in the Sobolev Space
In this paper regular fractional Sturm-Liouville boundary value problems are considered. In particular, new inner products are described in the...
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Canonical form for H-symplectic matrices
In this paper we consider pairs of matrices (A,H), with A and H either both real or both complex, H is invertible and skew-symmetric and A is H... -
Characterization of orthomaps on the Cayley plane
We classify maps which preserve orthogonality on the Cayley projective plane over octonions. In addition, we also classify orthogonality preserving...
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Generic rank-k Perturbations of Structured Matrices
This paper deals with the effect of generic but structured low rank perturbations on the Jordan structure and sign characteristic of matrices that... -
Representation Theorems for Indefinite Quadratic Forms Without Spectral Gap
The first and second representation theorem for sign-indefinite quadratic forms are extended. We include new cases of unbounded forms associated with...
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An Alternative Approach to Elliptical Motion
Elliptical rotation is the motion of a point on an ellipse through some angle about a vector. The purpose of this paper is to examine the generation...
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On nilpotent Chernikov p-groups with elementary tops
The description of nilpotent Chernikov p -groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the...