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Showing 1 to 6 of 6 for “"Matrix polynomials"”.

  1. Orthogonal matrix polynomials and differential, difference and q-difference matrix operators

    … of result that are framed in the theory of Matrix Orthogonal Polynomials, a branch of the very celebrated subject of Orthogonal Polynomials. In particular we study families of matrix valued orthogonal polynomials satisfying differential, difference or q-difference equations. The search for …

    sevilla Repository record for Orthogonal matrix polynomials and differential, difference and q-difference matrix operators (opens in a new tab)

  2. The Use of Chebyshev Matrix Polynomials in The Iterative Solution of Linear Equations Compared to The Method of Successive Overrelaxation

    Made available in DSpace on 2014-12-05T21:50:13Z (GMT). No. of bitstreams: 1 5904512.pdf: 3744616 bytes, checksum: 36f7058b6a22a150846a4adc2a8f8360 (MD5) Previous issue date: 1959

    uiuc Repository record for The Use of Chebyshev Matrix Polynomials in The Iterative Solution of Linear Equations Compared to The Method of Successive Overrelaxation (opens in a new tab)

  3. A new block Krylov subspace framework with applications to functions of matrices acting on multiple vectors

    … block Krylov subspace methods, which hinges on a matrix-valued inner product. We can recast the ``classical" block Krylov methods, such as O'Leary's block conjugate gradients, global methods, and loop-interchange methods, within this framework. Leveraging the generality of the framework, we …

    temple Repository record for A new block Krylov subspace framework with applications to functions of matrices acting on multiple vectors (opens in a new tab)

  4. Stability and Spectral Properties in the Max Algebra with Applications in Ranking Schemes

    … of the spectral properties of mat- rix polynomials. We analyse their relation to multi-step difference equations. We show how results for matrix polynomials in the conventional algebra carry over naturally to the max-algebraic setting. We also consider an extension of the so-called …

    maynooth Repository record for Stability and Spectral Properties in the Max Algebra with Applications in Ranking Schemes (opens in a new tab)

  5. Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra

    … mainly address the approximate GCD problem for polynomials, and problems related to parametric and polynomial matrices. For symbolic methods, our main concern is their complexity and for the numerical methods we are more concerned about their stability. The thesis consists of 5 articles which …

    uwo Repository record for Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra (opens in a new tab)