From Algebraic Structures to Tensors
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English

The first volume will first present the basic elements of linear algebra and multilinear algebra. The notions of matrix spaces and tensor spaces will be introduced. Different examples of tensors encountered in signal processing and data analysis will be provided. Special classes of matrices and tensors will be described. The main basic operations will then be detailed, both for the matrices and for the tensors, specifying the properties satisfied by these operations.

English

Volume 1
1. Algebraic structures
2. Tensors : Terminology and examples in signal processing and multi-input data analysis
3. Matrix special classification
4. Tensors special classification
5. Matrix operations
6. Tensor operations
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