A vector-bundle version of a theorem of V. Doležal
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Publication:1887493
DOI10.1016/j.laa.2004.05.014zbMath1065.15030OpenAlexW2073390367MaRDI QIDQ1887493
Publication date: 26 November 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.05.014
kernelrangetopological spaceVector bundlesmatrix functiondifferentiable manifoldBlock singular value decompositionContractible spacesDoležal's theoremMatrices depending on a parameter
Related Items (4)
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Cites Work
- Globally analytic triangularization of a matrix function
- A global analysis of matrices of functions of several variables
- Some global properties of matrices of functions of one variable
- Smoothness and Periodicity of Some Matrix Decompositions
- On Continuous Triangularization of Matrix Functions
- Dolezal's theorem revisited
- Characteristic Classes. (AM-76)
- Differential Topology
- On Smooth Decompositions of Matrices
- A Certain Region in Euclidean 3-Space
- Doležal's theorem, linear algebra with continuously parametrized elements, and time-varying systems
- The existence of a continuous basis of a certain linear subspace of $E\sb{r}$ which depends on a parameter
- Generalizations of a theorem of doležal
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