Temat: Eigenvalues - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The power method for the generalized eigenvalue problem
Autorzy:: Kozłowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/747465.pdf
Data publikacji:: 1992
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Eigenvalues, eigenvectors
Opis:: .
In this paper the Power Method for the generalized eigenvalue problem for matrix pencil (A-B)x=0 is considered. At any step of this iterative process the system of linear algebraic equations By-Ax has to be approximately solved with respect to y. We try to answer the question: how accurately we have to solve this system on each step of iteration,in order to guarantee resolution of the eigenproblem with given precision.
Źródło:: Mathematica Applicanda; 1992, 21, 35
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Determination of eigenvalues and eigenvectors by means of iterations of subspaces
Autorzy:: Pokrzywa, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/747613.pdf
Data publikacji:: 1985
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Eigenvalues, eigenvectors
Singular values
Opis:: .
Let A be a compact linear operator in a Banach space X. The author investigates the iterations of a given subspace M of X. He formulates sufficient conditions for the convergence (in the sense of the gap between subspaces). This result is applied to the study of spectra of operators.
Źródło:: Mathematica Applicanda; 1985, 12, 24
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A relation between the concepts of transposition, similarity, and symmetry, as well as matrix equations
Autorzy:: Kaczorek, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/747820.pdf
Data publikacji:: 2005
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Matrix equations and identities, Eigenvalues, singular values, and eigenvectors
Opis:: The author studies relationships among the notions of transpose, similarity, and symmetrization of matrices. It is shown that a square matrix is similar to its transpose, and that there exists a matrix that, simultaneously, carries this similarity transformation and symmetrizes the matrix. Furthermore, some equalities involving adjoint matrices are established as well. The proofs of the results are formulated for complex matrices, but they are valid also for other algebraically closed fields.
Źródło:: Mathematica Applicanda; 2005, 33, 47/06
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Approximation of eigenvalues for a class of differential problems on an infinite interval
Autorzy:: Regińska, Teresa
Powiązania:: https://bibliotekanauki.pl/articles/748517.pdf
Data publikacji:: 1978
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Spectral theory, Sturm-Liouville, and scattering theory
eigenfunctions, eigenvalues, and expansions
Eigenvalue problems
Teoria spektralna, funkcje własne, wartości własne
Opis:: The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).
The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.
Źródło:: Mathematica Applicanda; 1978, 6, 13
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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