Search Results - "Galántai, A"

Always convergent methods for nonlinear equations of several variables by Galántai, A.

“…We develop always convergent methods for solving nonlinear equations of the form f x = 0 ( f : ℝ n → ℝ m , x ∈ B = × i = 1 n a i , b i ) under the assumption…”
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The theory of Newton's method by Galántai, A.

“…We review the most important theoretical results on Newton's method concerning the convergence properties, the error estimates, the numerical stability and the…”
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Subspaces, angles and pairs of orthogonal projections by Galántai, A.

“…We give a new proof for the Wedin theorem on the simultaneous unitary similarity transformation of two orthogonal projections and show that it is equivalent to…”
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On the rate of convergence of the alternating projection method in finite dimensional spaces by GALANTAI, A

“…Using the results of Smith, Solmon, and Wagner [K. Smith, D. Solomon, S. Wagner, Practical and mathematical aspects of the problem of reconstructing objects…”
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Always convergent iteration methods for nonlinear equations of Lipschitz functions by Galántai, A., Abaffy, J.

“…We define a class of always convergent methods for solving nonlinear equations of real Lipschitz functions. These methods generate monotone iterations that…”
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Perturbations of invariant subspaces of unreduced Hessenberg matrices by Galantai, A, Hegedues, C J

“…Non-structured perturbation of invariant subspaces of unreduced, i.e. nonderogatory Hessenberg matrices is considered. Some perturbation results for the…”
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Jordan's principal angles in complex vector spaces by Galantai, A, Hegedus, Cs J

“…We analyse the possible recursive definitions of principal angles and vectors in complex vector spaces and give a new projector based definition. This enables…”
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Perturbation bounds for triangular and full rank factorizations by Galantai, A

“…We give componentwise bounds for the perturbations of the LU and LDU factorizations.These bounds are valid for all perturbations which keeps nonsingularity and…”
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A note on the generalized rank reduction by Galantai, A

“…We give constructive necessary and sufficient conditions for the validity of the generalized rank reduction formula of Ouellette [12]: [Equation] We also…”
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Perturbation bounds for polynomials by GALANTAI, A, HEGEDUS, C. J

“…Using two different elementary approaches we derive a global and a local perturbation theorem on polynomial zeros that significantly improve the results of…”
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A study of Auchmuty's error estimate by Galántai, A.

“…We analyze the absolute error estimate of Auchmuty [1] developed for linear systems. In the Euclidean norm, this estimate and its geometrical interpretation…”
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Hyman’s method revisited by Galántai, A., Hegedűs, C.J.

“…The QR algorithm is considered one of the most reliable methods for computing matrix eigenpairs. However, it is unable to detect multiple eigenvalues and…”
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Perturbations of Triangular Matrix Factorizations by Galántai, A.

“…We derive exact perturbation expressions for the LU , LDU , LDL T and Cholesky factorizations, which are valid for all matrix perturbations that keep…”
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Parallel ABS projection methods for linear and nonlinear systems with block arrowhead structure by Galántai, A.

“…We investigate the implementation of the block implicit LU ABS methods on linear and nonlinear algebraic systems with block arrowhead coefficient or Jacobian…”
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Special issue in honour of Jenő Egerváry by Csendes, T., Galántai, A., Szeidl, L.

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Rank reduction, factorization and conjugation by Galántai, A.

“…We investigate the rank reduction procedure, related factorizations and conjugation algorithms. An exact characterization of the full rank factorization…”
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Special issue in honour of Jen Egerváry by Csendes, T, Galántai, A, Szeidl, L

“…Jeno Egervry (1891-1958) was a prominent scientist of pure and applied mathematics. He is best known for his contribution to the Hungarian method. However, his…”
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Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations by GALANTAI, A, JENEY, A

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Analysis of error propagation in the ABS class for linear systems by GALANTAI, A

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Perturbation Bounds for Triangular and Full Rank Factorizations by Galantai, A

“…We give componentwise bounds for the perturbations of the LU and LDU factorizations. These bounds are valid for all perturbations which keeps nonsingularity…”
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