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ACS
2005
13 years 5 months ago
Symmetric Brace Algebras
We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L-algebras. We give an alternate proof that the category of symmetric brace algebras is...
Tom Lada, Martin Markl
JSC
2011
110views more  JSC 2011»
13 years 8 days ago
Computing symmetric rank for symmetric tensors
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for...
Alessandra Bernardi, Alessandro Gimigliano, Monica...
CORR
2002
Springer
112views Education» more  CORR 2002»
13 years 5 months ago
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers
For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure. They can be produced from a metric tensor and a fini...
Bernd Fiedler
TIT
2010
90views Education» more  TIT 2010»
13 years 22 hour ago
Group codes outperform binary-coset codes on nonbinary symmetric memoryless channels
Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved t...
Giacomo Como
MOC
1998
115views more  MOC 1998»
13 years 5 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster