Results 11 to 20 of about 65 (65)
On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices
Special Matrices, 2020 The singular values σ > 1 of an n × n involutory matrix A appear in pairs (σ, 1σ{1 \over \sigma }). Their left and right singular vectors are closely connected. The case of singular values σ = 1 is discussed in detail. These singular values may appear in
Faßbender Heike, Halwaß Martin
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Unique builders for classes of matrices
Special Matrices, 2021 Basic matrices are defined which provide unique building blocks for the class of normal matrices which include the classes of unitary and Hermitian matrices.
Hurley Ted
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A note on adaptivity in factorized approximate inverse preconditioning
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The problem of solving large-scale systems of linear algebraic equations arises in a wide range of applications. In many cases the preconditioned iterative method is a method of choice.
Kopal Jiří +2 more
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Polynomial perturbations of bilinear functionals and Hessenberg matrices [PDF]
, 2006 20 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2209234 (2008c:42024)Zbl#: Zbl 1134.42015This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-definite bilinear functionals.
Bueno, M. Isabel +5 more
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Spectral transformations of measures supported on the unit circle and the Szegö transformation [PDF]
, 2008 17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.MR#: MR2457097 (2009k:42046)Zbl#: Zbl 1169.42009In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations
Hernández, Javier +3 more
core +1 more source
On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
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Maximizing the determinant for a special class of block‐partitioned matrices
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 49-61, 2004., 2004 An analytical solution is found for the maximum determinant of a block‐partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.
Otilia Popescu +2 more
wiley +1 more source
Algorithm of J‐factorization of rational matrices with zeros and poles on the imaginary axis
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2873-2885, 2003., 2003 The problem of J‐factorization of rational matrices, which have zeros and poles on the imaginary axis, is reduced to construction of the solutions of two algebraic Riccati equations. For construction of these solutions, it is offered to use appropriate algorithms.
Vladimir B. Larin
wiley +1 more source
Approximating Runge-Kutta Matrices By Triangular Matrices [PDF]
, 1997 . The implementation of implicit Runge--Kutta methods requires the solution of large systems of non-linear equations. Normally these equations are solved by a modified Newton process, which can be very expensive for problems of high dimension.
Hoffmann, W. (Walter) +5 more
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Geronimus spectral transforms and measures on the complex plane [PDF]
, 2008 16 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2441238 (2009k:42053)Zbl#: Zbl 1149.42019We analyze a special spectral transform of a measure $\mu $ supported on a compact subset $C$ of the complex plane. A perturbation $\mu _{1}$ of $\mu $ is
Hernández, Javier +4 more
core +1 more source