How tight is Hadamard's bound?
How to characterize commutativity equalities for Drazin inverses of matrices
Necessary and sufficient conditions are presented for the commutativity equalities , , , and so on to hold by using rank equalities of matrices. Some related topics are also examined.
How to establish universal block-matrix factorizations.
Hurwitz analysis: basic concepts and connection with Clifford analysis
Hurwitz pairs and Clifford valued inner products
After an overview of Hurwitz pairs we are showing how to actually construct them and discussing whether, for a given representation, all Hurwitz pairs of the same type are equivalent. Finally modules over a Clifford algebra are considered with compatible inner products; the results being then aplied to Hurwitz pairs.
Hybrid Algorithm for Fast Toeplitz Orthogonalization.
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.
Hypercomplex algebras, hypercomplex analysis and conformal invariance
Hypercontractivité pour les fermions, d'après Carlen-Lieb
Hyperreflexive operators on finite dimensional Hilbert spaces
In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.
Hypersymmetric functions and Pochhammers of nonautonomous matrices.
Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products.
Ideal decompositions and computation of tensor normal forms.
Idempotence-preserving maps between matrix spaces over fields of characteristic 2.
Idempotent and compact matrices on linear lattices: A survey of some lattice results and related solutions of finite relational equations.
Identities and the group of isostrophisms
In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on -inverse loops and middle Bol loops.
Identities on Clifford algebras.
Immanant Conversion on Symmetric Matrices
Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(Φ(Α ) + αΦ(Β)) for all matrices A,В ε Σ„(С) and all scalars a ε C are automatically linear and bijective. As a corollary of the above result we characterize all such maps Φ acting on ΣИ(С).
Implementing an interior point method for linear programs on a CPU-GPU system.
Improved upper bounds for the Laplacian spectral radius of a graph.