Search for dissertations about: "invertibility"

Found 5 swedish dissertations containing the word invertibility.

  2. 1. On Invertibility of the Radon Transform and Compressive Sensing

    Author : Joel Andersson; Jan-Olov Strömberg; Mikko Salo; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Radon transform; invertibility; compressive sensing; stability estimates; Mathematics; Matematik;

    Abstract : This thesis contains three articles. The first two concern inversion andlocal injectivity of the weighted Radon transform in the plane. The thirdpaper concerns two of the key results from compressive sensing.In Paper A we prove an identity involving three singular double integrals. READ MORE

  4. 2. Pairs of projections on a Hilbert space:properties and generalized invertibility

    Author : Sonja Radosavljevic; Vladimir Kozlov; Bengt-Ove Turesson; Uno Wennergren; Pavel Kurasov; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis is concerned with the problem of characterizing sums, differences, and products of two projections on a separable Hilbert space. Other objective is characterizing the Moore-Penrose and the Drazin inverse for pairs of operators. We use reasoning similar to one presented in the famous P. READ MORE

  5. 3. An Encounter with Convolutional Codes over Rings

    Author : Emma Wittenmark; Institutionen för elektro- och informationsteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Telekommunikationsteknik; Data- och systemvetenskap; Telecommunication engineering; computer technology; direct sum decomposition of a ring; Systems engineering; minimal trellis; generator matrix properties; code properties; convolutional codes; codes over rings;

    Abstract : Convolutional codes is one possibility when there is a need for error-correcting codes in communication systems. Using convolutional codes over rings is a relatively new approach. READ MORE

  6. 4. Eigenvalue analysis and convergence acceleration techniques for summation-by-parts approximations

    Author : Andrea Alessandro Ruggiu; Jan Nordström; Per Weinerfelt; Daniel Appelö; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Many physical phenomena can be described mathematically by means of partial differential equations. These mathematical formulations are said to be well-posed if a unique solution, bounded by the given data, exists. READ MORE

  7. 5. Inverse and Forward Approaches for Optimal Control and Estimation in Agent-Based Systems

    Author : Yibei Li; Xiaoming Hu; Per Enqvist; Bijoy Ghosh; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Autonomous systems; inverse optimal control; system identification; nonlinear systems; formation control; differential game; credit scoring.; Autonoma system; invers optimal styrning; system identifiering; olinjära system; formationsstyrning; differentialspel; kreditvärdering.; Optimeringslära och systemteori; Optimization and Systems Theory;

    Abstract : This dissertation is concerned with three topics within the field of optimal control and estimation in dynamical agent-based systems, with potential applications that meet both engineering and societal needs. Firstly, the inverse optimal control problem is studied. READ MORE