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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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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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
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Rok uplatnění
C - Kapitola v odborné knize
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