- Tensor inversion and its application to the tensor equations with Einstein product
2018/08/03 by Mao-lin Liang, Maolin Liang, Bing Zheng +2 · 5 citations
Computer Science · Mathematics · #Algebra over a field #Cartesian tensor #Eigenvalues and eigenvectors #Einstein #Einstein tensor #Exact solutions in general relativity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Matrix Theory and Algorithms #Multilinear algebra #Multilinear map #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Symmetric tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Tensor product of Hilbert spaces #Weyl tensor
- Perturbation bounds of tensor eigenvalue and singular value problems with even order
2015/08/14 by Maolin Che, Liqun Qi, Yimin Wei · 1 citation
Computer Science · Engineering · Mathematics · #Cartesian tensor #Eigenvalues and eigenvectors #Exact solutions in general relativity #Geometry #Lanczos tensor #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Physics #Power System Optimization and Stability #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Symmetric tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product of Hilbert spaces #Weyl tensor
- An eigenvalue problem for even order tensors with its applications
2015/08/06 by Lu‐Bin Cui, Lu-Bin Cui, Chuan Chen +2 · 2 citations
Engineering · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Algorithm #Cartesian tensor #Circulant matrix #Combinatorics #Divide-and-conquer eigenvalue algorithm #Eigenvalues and eigenvectors #Elasticity and Material Modeling #Exact solutions in general relativity #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Order (exchange) #Physics #Pure mathematics #Singular value #Singular value decomposition #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Toeplitz matrix #Transpose
- Most Tensor Problems Are NP-Hard
2013/11/01 by Christopher J. Hillar, Lek-Heng Lim, Lek‐Heng Lim · 175 citations
Computer Science · Mathematics · #Algebra over a field #Bilinear form #Bilinear interpolation #Cartesian tensor #Combinatorics #Eigenvalues and eigenvectors #Exact solutions in general relativity #Jordan algebra #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Matrix norm #Multilinear algebra #Multilinear map #Norm (philosophy) #Numerical Methods and Algorithms #Physics #Pure mathematics #Quantum mechanics #Rank (graph theory) #Singular value #Symmetric tensor #Tensor (intrinsic definition) #Tensor algebra #Tensor decomposition and applications #Tensor density #Tensor field
- Reduction of one-loop tensor 5-point integrals
2002/12/20 by A. Denner, S. Dittmaier · 5 citations
Mathematics · Physics and Astronomy · #Cartesian tensor #Mathematical functions and polynomials #Particle physics theoretical and experimental studies #Reduction (mathematics) #Scalar (mathematics) #Slater integrals #Tensor (intrinsic definition) #Tensor decomposition and applications #Tensor field #Trigonometric integral #hep-ph
- Transformations on tensor spaces II
1995/11/01 by R. Westwick · 2 citations
Mathematics · #Cartesian tensor #Computer science #Domain (mathematical analysis) #Exact solutions in general relativity #Geometry #Mathematical analysis #Mathematics #Product (mathematics) #Pure mathematics #Range (aeronautics) #Space (punctuation) #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Tensor product of Hilbert spaces #Vector space #advanced mathematical theories
- Tensor spherical harmonics on S2 and S3 as eigenvalue problems
1978/12/01 by Vernon D. Sandberg · 1 citation
Engineering · Mathematics · #Algebraic and Geometric Analysis #Cartesian tensor #Composite Material Mechanics #Eigenfunction #Eigenvalues and eigenvectors #Elasticity and Material Modeling #Exact solutions in general relativity #Geometry #Harmonics #Laplace operator #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Solid harmonics #Spherical harmonics #Spin-weighted spherical harmonics #Tensor (intrinsic definition) #Tensor contraction #Tensor density #Tensor field #Tensor operator #Vector spherical harmonics #Zonal spherical harmonics