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