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Functional analysis --- Numerical approximation theory --- Computer science --- Computer. Automation --- computers --- informatica --- wiskunde --- computerkunde --- Numerical grid generation (Numerical analysis) --- Sparse matrices. --- Numerical analysis. --- Mathematical analysis --- Spare matrix techniques --- Matrices --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions

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Sparse matrices --- Iterative methods (Mathematics) --- Differential equations, Partial --- Matrices éparses --- Itération (Mathématiques) --- Equations aux dérivées partielles --- Numerical solutions --- Solutions numériques --- Sparse matrices. --- Numerical solutions. --- Iterative methods (Mathematics). --- Matrices éparses --- Itération (Mathématiques) --- Equations aux dérivées partielles --- Solutions numériques --- Numerical solutions of algebraic equations --- 519.61 --- 681.3*G13 --- -Iterative methods (Mathematics) --- Spare matrix techniques --- Iteration (Mathematics) --- Numerical methods of algebra --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- 519.61 Numerical methods of algebra --- Matrices --- Numerical analysis --- Partial differential equations --- Differential equations, Partial - Numerical solutions

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Harry M Markowitz received the Nobel Prize in Economics in 1990 for his pioneering work in portfolio theory. He also received the von Neumann Prize from the Institute of Management Science and the Operations Research Institute of America in 1989 for his work in portfolio theory, sparse matrices and the SIMSCRIPT computer language. While Dr Markowitz is well-known for his work on portfolio theory, his work on sparse matrices remains an essential part of linear optimization calculations. In addition, he designed and developed SIMSCRIPT - a computer programming language. SIMSCRIPT has been widely

Investment analysis. --- Portfolio management. --- Sparse matrices. --- Analyse financière --- Gestion de portefeuille --- Matrices éparses --- Portfolio management --- -Investment analysis --- -Sparse matrices --- -330.9 --- Spare matrix techniques --- Matrices --- Analysis of investments --- Analysis of securities --- Security analysis --- Investment management --- Investment analysis --- Investments --- Securities --- Electronic information resources --- E-books --- AA / International- internationaal --- 305.91 --- 339.4 --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles. --- Vermogensbeheer. Financiële analyse. Verspreiding van de beleggingsrisico's. --- Analyse financière --- Matrices éparses --- Sparse matrices --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Vermogensbeheer. Financiële analyse. Verspreiding van de beleggingsrisico's

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This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at  ICM 2010.

Combinatorial analysis. --- Computational complexity. --- Linear systems. --- Sparse matrices. --- Sparse matrices --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Combinatorics --- Spare matrix techniques --- Mathematics. --- Algorithms. --- Computer science --- Convex geometry. --- Discrete geometry. --- Mathematical logic. --- Combinatorics. --- Discrete Mathematics in Computer Science. --- Convex and Discrete Geometry. --- Mathematical Logic and Foundations. --- Algorithm Analysis and Problem Complexity. --- Mathematical analysis --- Matrices --- Discrete groups. --- Logic, Symbolic and mathematical. --- Computer software. --- Software, Computer --- Computer systems --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Groups, Discrete --- Infinite groups --- Complexity, Computational --- Electronic data processing --- Machine theory --- Discrete mathematics --- Computer science—Mathematics. --- Convex geometry . --- Algorism --- Arithmetic --- Geometry --- Combinatorial geometry --- Foundations

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This book provides a view of low-rank and sparse computing, especially approximation, recovery, representation, scaling, coding, embedding, and learning among unconstrained visual data. Included in the book are chapters covering multiple emerging topics in this new field. The text links multiple popular research fields in Human-Centered Computing, Social Media, Image Classification, Pattern Recognition, Computer Vision, Big Data, and Human-Computer Interaction. This book contains an overview of the low-rank and sparse modeling techniques for visual analysis by examining both theoretical analysis and real-world applications. ·         Covers the most state-of-the-art topics of sparse and low-rank modeling ·         Examines the theory of sparse and low-rank analysis to the real-world practice of sparse and low-rank analysis ·         Contributions from top experts voicing their unique perspectives included throughout.

Information visualization. --- Visualization. --- Visual perception. --- Sparse matrices. --- Representations of groups. --- Mathematical models. --- Machine learning. --- Learning, Machine --- Artificial intelligence --- Machine theory --- Models, Mathematical --- Simulation methods --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Optics, Psychological --- Vision --- Perception --- Visual discrimination --- Visualisation --- Imagery (Psychology) --- Imagination --- Visual perception --- Data visualization --- Visualization of information --- Information science --- Visual analytics --- Spare matrix techniques --- Matrices --- Psychological aspects --- Computer vision. --- Image Processing and Computer Vision. --- Signal, Image and Speech Processing. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Machine vision --- Vision, Computer --- Image processing --- Pattern recognition systems --- Optical data processing. --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Optical equipment