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10 093 (0,089s)

Výsledek výzkumu

Some results on traceless tensor decomposition

This article deals with traceless decomposition problem of tensor spaces - decomposition of real tensor spaces, decomposition of tensor spaces with almost complex structure, decomposition...

BA - Obecná matematika

  • 2010
  • Jx
Výsledek výzkumu

Some results on traceless decomposition of tensors

The article deals with decomposition problem of tensor spaces - of tensor spaces over real numbers, tensor spaces with almost complex structure, tensor spaces with almost quaternionic structure and general...

BA - Obecná matematika

  • 2011
  • Jx
  • Odkaz
Výsledek výzkumu

On generalized trace decompositions problems

The aim of this article is to describe the solution of the trace decomposition problem on the four cases - decomposition of real tensor spaces, decomposition of tensor spaces with almost complex structure,...

BA - Obecná matematika

  • 2008
  • D
Výsledek výzkumu

The decomposition of tensor spaces with quaternionic structure.

This paper deals with decomposition of tensor spaces with quaternionic structure. This decompostion is computed for symmetric tensors of the type (1,2). Explicit formulas for such decomposition are given in this pa...

BA - Obecná matematika

  • 2007
  • D
Výsledek výzkumu

The decomposition of tensor spaces with almost complex structure

Decomposition on tensor spaces with almost complex structure is desired. This decomposition is computed for tensor of the type (2,2) having some special properties. Explicit formulas for such decomposition...

BA - Obecná matematika

  • 2006
  • D
Výsledek výzkumu

Tensor Chain Decomposition and Function Interpolation

Tensor Chain (TC) decomposition represents a given tensor as a chain (circle) of order-3 tensors (wagons) connected through tensor contractions. In this paper, we show the link between the TC decomposi...

Electrical and electronic engineering

  • 2023
  • D
Výsledek výzkumu

Trace decompositions of tensor spaces

The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are deriv...

BA - Obecná matematika

  • 2006
  • Jx
Výsledek výzkumu

Rank-one tensor injection: A novel method for canonical polyadic tensor decomposition

Canonical polyadic decomposition of tensor is to approximate or express the tensor by sum of rank-1 tensors. When all or almost all components of factor matrices of the tensor are highly collinear, the

BB - Aplikovaná statistika, operační výzkum

  • 2016
  • D
Výsledek výzkumu

The decomposition of tensor spaces with almost complex structure

Decomposition of tensors spaces with almost complex structures is a standard task in representation theory and thus in differential geometry. Our aim. This decomposition is computed for tensors of the type (1,3) wi...

BA - Obecná matematika

  • 2004
  • Jx
Výsledek výzkumu

The Decomposition of Tensor Spaces

The problem of F-decomposition of tensor spaces is considered. F-decomposition of tensor spaces of the type (1,1), (1,2), (1,3) is computed. Also F-decomposition for e-structures , when special conditions ...

BA - Obecná matematika

  • 1999
  • C
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