- A Canonical Representation of Block Matrices with Applications to Covariance and Correlation Matrices
2020/12/04 by Ilya Archakov, Peter Reinhard Hansen, Archakov, Ilya +1 · 2 citations
Economics, Econometrics and Finance · Mathematics · #Algorithm #Applied mathematics #Block (permutation group theory) #Block matrix #Canonical correlation #Canonical form #Combinatorics #Computational Finance (q-fin.CP) #Covariance #Covariance and correlation #Covariance matrix #Econometrics (econ.EM) #Eigenvalues and eigenvectors #Estimation of covariance matrices #FOS: Computer and information sciences #FOS: Economics and business #Gaussian #Logarithm #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix exponential #Methodology (stat.ME) #Pure mathematics #Random Matrices and Applications #Random variable #Representation (politics) #Statistics #econ.EM #q-fin.CP #stat.ME
- On the numerical range of some block matrices with scalar diagonal blocks
2019/11/01 by Titas Geryba, Ilya M. Spitkovsky, Geryba, Titas +1 · 2 citations
Computer Science · Engineering · Mathematics · #15A60 #Block (permutation group theory) #Block matrix #Combinatorics #Convex hull #Diagonal #Diagonal matrix #Ellipse #FOS: Mathematics #Functional Analysis (math.FA) #Geometry #Hull #Main diagonal #Materials science #Mathematical analysis #Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Numerical range #Physics #Quantum mechanics #Range (aeronautics) #Regular polygon #Scalar (mathematics) #graph theory and CDMA systems #math.FA #msc:15A60
- A Generalized Matrix Inverse That Is Consistent with Respect to Diagonal Transformations
2018/01/01 by Jeffrey Uhlmann · 3 citations
Computer Science · Engineering · Agricultural and Biological Sciences · Mathematics · #Matrix Theory and Algorithms #Control Systems and Identification #Advanced Scientific Research Methods #Mathematics #Invertible matrix #Drazin inverse #Inverse #Matrix similarity #Generalized inverse #Invariant (physics) #Block matrix #Diagonal #Matrix (chemical analysis) #Moore–Penrose pseudoinverse #Pure mathematics #Algebra over a field #Unitary matrix #Inverse element #Unitary state #Mathematical analysis #Geometry #Eigenvalues and eigenvectors
- Algorithm 923
2012/08/01 by M. Wimmer · 2 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Tensor decomposition and applications #Tridiagonal matrix #Pfaffian #Gaussian elimination #Tridiagonal matrix algorithm #Block matrix #Matrix (chemical analysis) #Block (permutation group theory) #Vectorization (mathematics) #Eigenvalues and eigenvectors #Algebra over a field
- Rank-profile revealing Gaussian elimination and the CUP matrix decomposition
2011/12/24 by Claude-Pierre Jeannerod, Jeannerod, Claude-Pierre, Clément Pernet +3 · 3 citations
Computer Science · Mathematics · #Algorithm #Block (permutation group theory) #Block matrix #Combinatorics #Computation #FOS: Computer and information sciences #Gaussian #Gaussian elimination #Geometry #Inverse #Mathematical Software (cs.MS) #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Matrix decomposition #Matrix multiplication #Polynomial and algebraic computation #Rank (graph theory) #Symbolic Computation (cs.SC) #Tensor decomposition and applications #Transformation (genetics) #Transformation matrix #cs.MS #cs.SC
- Fast Polar Decomposition of an Arbitrary Matrix
1990/07/01 by Nicholas J. Higham, Robert Schreiber · 5 citations
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #Numerical Methods and Algorithms #Inertial Sensor and Navigation #Mathematics #Hermitian matrix #Matrix (chemical analysis) #Matrix multiplication #Positive-definite matrix #Block matrix #Algorithm #Cholesky decomposition #LU decomposition #Polar decomposition #Matrix decomposition #Matrix splitting #Sparse matrix #Newton's method #Iterative method #Symmetric matrix #Applied mathematics #Square matrix #Polar #Pure mathematics
- A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix
1985/11/01 by Miroslav Fiedler, Charles R. Johnson, Thomas L. Markham +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #Band matrix #Block matrix #Combinatorics #Diagonal #Diagonal matrix #Diagonally dominant matrix #Eigenvalues and eigenvectors #Geometry #Invertible matrix #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Nonnegative matrix #Physics #Pure mathematics #Square matrix #Symmetric matrix #TRACE (psycholinguistics) #graph theory and CDMA systems
- Generalized Inverses and Ranks of Block Matrices
1973/12/01 by Carl D. Meyer · 1 citation
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Mathematics and Applications #graph theory and CDMA systems #Mathematics #Inverse #Rank (graph theory) #Representation (politics) #Combinatorics #Block (permutation group theory) #Matrix (chemical analysis) #Generalized inverse #Block matrix #Pure mathematics #Geometry #Eigenvalues and eigenvectors
- Block Toeplitz Matrix Inversion
1973/03/01 by Hirotugu Akaike · 1 citation
Computer Science · Mathematics · #Neural Networks and Applications #Toeplitz matrix #Inversion (geology) #Levinson recursion #Block (permutation group theory) #Mathematics #Matrix (chemical analysis) #Block matrix #Iterative method #Algorithm #Applied mathematics #Algebra over a field #Pure mathematics #Geometry #Geology #Physics #Materials science
- On Moore Graphs with Diameters 2 and 3
1960/11/01 by A. J. Hoffman, Alan J. Hoffman, R. R. Singleton +1 · 10 citations
Computer Science · Engineering · Mathematics · #Adjacency list #Adjacency matrix #Advanced Graph Theory Research #Block (permutation group theory) #Block matrix #Combinatorics #Degree (music) #Discrete mathematics #Eigenvalues and eigenvectors #Graph #Graph theory and applications #Homogeneous #Mathematics #Physics #Undirected graph #graph theory and CDMA systems