Quasi-cyclic LDPC codes: an algebraic construction, rank analysis, and codes on Latin squares
IEEE Transactions on Communications
A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations
SIAM Journal on Scientific Computing
Properties of Bethe free energies and message passing in Gaussian models
Journal of Artificial Intelligence Research
Smoothness of conditional independence models for discrete data
Journal of Multivariate Analysis
Proceedings of the 49th Annual Design Automation Conference
A subspace estimator for fixed rank perturbations of large random matrices
Journal of Multivariate Analysis
The time complexity of A* with approximate heuristics on multiple-solution search spaces
Journal of Artificial Intelligence Research
Algorithms for {K,s+1}-potent matrix constructions
Journal of Computational and Applied Mathematics
Predictive control of networked control systems over differentiated services lossy networks
DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
Computing eigenvalues of normal matrices via complex symmetric matrices
Journal of Computational and Applied Mathematics
An explicit method for G3 merging of two Bézier curves
Journal of Computational and Applied Mathematics
Achieving relative time synchronization in wireless sensor networks
Journal of Control Science and Engineering
Robust subspace discovery via relaxed rank minimization
Neural Computation
Complete stagnation of GMRES for normal matrices
Journal of Computational and Applied Mathematics
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Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.