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Computational methods of linear algebra
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Generalized Inverse Matrices
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The application of diakoptics and the escalator method to the solution of very large eigenvalue problems
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An equation solver of very large capacity
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Solution of eigenvalue problems by sturm sequence method
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On the inverse of matrices with nearly equal elements
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A new relaxation method for obtaining the lowest eigenvalue and eigenvector of a matrix equation
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Eigenproblem solution by a combined Sturm sequence and inverse iteration technique
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A computational technique‐for the efficient handling of large matrices
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An iterative method for large systems of linear structural equations
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Computing with sparse matrices
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Some comments on the equation block solver
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Note on a modified Conjugate Gradient Method
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Author's reply to a recent discussion1. Solution of eigenvalue problems by sturm sequence method
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A discussion on a modified conjugate gradient method
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An explicit algorithm for solving linear equations of Jacobi type
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The variation method and the algebraic eigenvalue problem
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Iterative Berechung der reziproken Matrix
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Fehleruntersuchungen bei der Lösung linearer Gleichungssysteme durch elektronische Digitalrechner
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Zur Fehlerabschätzung beim Gesamt‐ und Einzelschrittverfahren für lineare Gleichungssysteme
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Bemerkung zu einem Konditionsmaß für lineare Gleichungssysteme
inferredcites →https://doi.org/10.1002/zamm.19630431303openalex-snapshot
Sektion Angewandte Mathematik
inferredcites →https://doi.org/10.1002/zamm.19640440104openalex-snapshot
Einschließungssätze für die Eigenwerte normaler Matrizenpaare
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Einzelschrittverfahren zur Matrizeninversion
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Beitrag zur Lösung eines inversen Eigenwertproblems
inferredcites →https://doi.org/10.1002/zamm.19640441320openalex-snapshot
Relaxation bei Matrizen mit der Eigenschaft „A”
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Über asymptotische Entwicklungen von Sphäroidfunktionen
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Einschließungssätze für die Eigenvektoren normaler Matrizenpaare
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R. Zurmühl, Matrizen und ihre technischen Anwendungen. 4. Auflage. XII + 452 S. m. 68 Abb. Berlin/Göttingen/Heidelberg 1964. Springer‐Verlag. Preis geb. DM 36,—
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L. Collatz, Funktionalanalysis und numerische Mathematik. (Die Grundlehren der mathematischen Wissenschaften, Band 120) VI + 371 S. m. 96 Abb. u. 2 Porträts. Berlin/Göttingen/Heidelberg 1964. Springer‐Verlag. Preis geb. DM 58,—
inferredcites →https://doi.org/10.1002/zamm.19650450413openalex-snapshot
Bemerkungen zur formelmäßigen Dreiecksfaktorisierung einer zyklischen Bandmatrix
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F. L. Bauer — J. Heinhold — K. Samelson — R. Sauer, Moderne Rechenanlagen. Eine Einführung. (Leitfäden der angewandten Mathematik und Mechanik, Band 5) 357 S. m. 193 Abb. Stuttgart 1964. B. G. Teubner Verlagsgesellschaft. Preis geb. DM 46,80
inferredcites →https://doi.org/10.1002/zamm.19650450504openalex-snapshot
Eine Vereinfachung des Verfahrens von Le Verrier — Horst zur Aufstellung des charakteristischen Polynoms einer Matrix
inferredcites →https://doi.org/10.1002/zamm.19650450528openalex-snapshot
G. Schröder, Über die Konvergenz einiger Jacobi‐Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen. (Forschungsbericht Nr. 1291, Nr. 5 der Schriften des IIM, Serie A) 59 S. u. 5 Tab. Köln/Opladen 1964. Westdeutscher Verlag. Preis brosch. DM 48,50
inferredcites →https://doi.org/10.1002/zamm.19650459009openalex-snapshot
Optimale Strategien bei der direkten Auflösung linearer Gleichungssysteme mit schwachbesetzten Matrizen
inferredcites →https://doi.org/10.1002/zamm.19650459013openalex-snapshot
Molekülkraftkonstantenberechnung als inverses Eigenwertproblem
inferredcites →https://doi.org/10.1002/zamm.19650459036openalex-snapshot
Die Reduktion einer symmetrischen Bandmatrix auf tridiagonale Form
inferredcites →https://doi.org/10.1002/zamm.19660460104openalex-snapshot
Nichtlineare Elastizität mit linearem Realspannungs‐Dehnungs‐Gesetz
inferredcites →https://doi.org/10.1002/zamm.19660460214openalex-snapshot
An Iterative Method for the Determination of the Square Root of a Positive Definite Matrix
inferredcites →https://doi.org/10.1002/zamm.19660460306openalex-snapshot
Zur Konvergenz der Eigenvektoren beim Jacobi‐Verfahren
inferredcites →https://doi.org/10.1002/zamm.19660460702openalex-snapshot
Zusammenfassender Bericht. Genauigkeitsfragen bei der Lösung linearer Gleichungssysteme
inferredcites →https://doi.org/10.1002/zamm.19660469017openalex-snapshot
Inversion symmetrischer Matrizen durch Abänderungsmethoden
inferredcites →https://doi.org/10.1002/zamm.19660469021openalex-snapshot
Einige Anwendungen eines erweiterten inversen Eigenwertproblems
inferredcites →https://doi.org/10.1002/zamm.19660469029openalex-snapshot
Inversion von Matrizen mit Fehlererfassung
inferredcites →https://doi.org/10.1002/zamm.19660469034openalex-snapshot
Matrizen hoher Ordnung mit ausgezeichneter Struktur
inferredcites →https://doi.org/10.1002/zamm.19670470204openalex-snapshot
Über Operatorgleichungen mit nicht linear auftretendem Parameter
inferredcites →https://doi.org/10.1002/zamm.19690490808openalex-snapshot
A Simple Algorithm for Solving Linear Equations of a Certain Type
inferredcites →https://doi.org/10.1002/zamm.19700500122openalex-snapshot
Einige Möglichkeiten der Pivotsuche beim Gaußschen Algorithmus
inferredcites →https://doi.org/10.1002/zamm.19700500127openalex-snapshot
Über die intervallmäßige Durchführung einiger Iterationsverfahren
inferredcites →https://doi.org/10.1002/zamm.19700500131openalex-snapshot
Konvergenzbereiche bei mehrstufigen Iterationsverfahren
inferredcites →https://doi.org/10.1002/zamm.19700500136openalex-snapshot
Berücksichtigung von Monotonieverhältnissen bei der intervallarithmetischen Behandlung linearer Gleichungssysteme
inferredcites →https://doi.org/10.1002/zamm.19700500619openalex-snapshot
Über die Eigenwerte benachbarter normaler Matrizenpaare
inferredcites →https://doi.org/10.1002/zamm.19710510108openalex-snapshot
Zur Fehlerabschätzung von Näherungslösungen quasiperiodischer Differentialgleichungen
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Über intervallmäßige Iterationsverfahren bei linearen Gleichungssystemen und allgemeineren Intervallgleichungssystemen
inferredcites →https://doi.org/10.1002/zamm.19710510503openalex-snapshot
Iterative Berechnung von Eigenwerten und Eigenvektoren ohne Vorgabe von Näherungen
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Numerische Mathematik und Informatik
inferredcites →https://doi.org/10.1002/zamm.19720520403openalex-snapshot
Abbrechkriterium für Iterationsverfahren
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Über große Gleichungssysteme mit einer Bandmatrix
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H. Werner, Praktische Mathematik I. Methoden der linearen Algebra. (Mathematica Scripta, Bd. 1). X + 275 S. Berlin/Heidelberg/New York 1970. Springer‐Verlag. Preis Brosch. DM 14,—
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C. Forsythe and C. B. Moler, Computer Solution of Linear Algebraic Systems. (Series in Automatic Computation) XI + 148 S. Englewood Cliffs, N.J. 1967. Prentice‐Hall, Inc. Preis geb. 54 s. net
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Bemerkungen zur Iteration mit monoton zerlegbaren Operatoren
inferredcites →https://doi.org/10.1002/zamm.19730530202openalex-snapshot
Berechnung von Eigenwerten und Eigenvektoren normaler Matrizenpaare durch Ritz‐Iteration
inferredcites →https://doi.org/10.1002/zamm.19730531113openalex-snapshot
Ein Zusammenhang zwischen Konditionszahlen
inferredcites →https://doi.org/10.1002/zamm.19730531292openalex-snapshot
Charakterisierung der Lösungsmenge von Intervallgleichungssystemen
inferredcites →https://doi.org/10.1002/zamm.19730531296openalex-snapshot
Matrix Algorithms for Tasks Connected with Symmetrical Matrices
inferredcites →https://doi.org/10.1002/zamm.19730531298openalex-snapshot
Intervall‐Arithmetiken für komplexe Zahlen
inferredcites →https://doi.org/10.1002/zamm.19740540107openalex-snapshot
Ein Algorithmus zur Lösung eines inversen Eigenwertproblems
inferredcites →https://doi.org/10.1002/zamm.19740540209openalex-snapshot
A Note on Mattries A = 1 + H, H Skew‐Symmetric
inferredcites →https://doi.org/10.1002/zamm.19740540409openalex-snapshot
The Gauss‐Bordering Method for Matrix Inversion
inferredcites →https://doi.org/10.1002/zamm.19740540605openalex-snapshot
Eine Theorie der Gleichungssysteme mit Intervall‐Koeffizienten
inferredcites →https://doi.org/10.1002/zamm.197405412118openalex-snapshot
Zur scharfen Außenabschätzung der Lösungsmenge bei linearen Intervallgleichungssystemen
inferredcites →https://doi.org/10.1002/zamm.197405412129openalex-snapshot
Fehleranalyse der Schmidtschen und Powellschen Orthonormalisierungsverfahren
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Stoer, J./Bulirsch, R., Einführung in die Numerische Mathematik II. unter Berücksichtigung von Vorlesungen von F. L. Bauer. Heidelberger TB 114. 2., neubearb. Auflage. Berlin‐Heidelberg‐New York. Springer‐Verlag 1978. XI, 308 S., 22 Abb., DM 19,80, US $ 9.90
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Sparse Matrices and their Applications
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Several Strategies for Reducing the Bandwidth of Matrices
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The Role of Partitioning in the Numerical Solution of Sparse Systems
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Eigenvalue Methods for Sparse Matrices
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Some Basic Techniques for Solving Sparse Systems of Linear Equations
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A New Iterative Procedure for the Solution of Sparse Systems of Linear Difference Equations
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Methods of Numerical Mathematics
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Iterative Eigenvalue Algorithms for Large Symmetric Matrices
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Konvergenzbeschleunigung bei Einstufigen Iterationsverfahren durch Summierungsmethoden
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Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems
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Numerische Berechnung von benachbarten inversen Matrizen und linearen Gleichungssystemen
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Über die Konvergenz einiger Jacobi-Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen
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Matrix Eigensystem Routines — EISPACK Guide
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Funktionalanalysis und numerische Mathematik
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Perturbation Theory for Linear Operators
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The QR and QL Algorithms for Symmetric Matrices
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The Implicit QL Algorithm
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Iterative Refinement of the Solution of a Positive Definite System of Equations
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The Calculation of Specified Eigenvectors by Inverse Iteration
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Inversion of Positive Definite Matrices by the Gauss-Jordan Method
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Matrizen und Ihre Technischen Anwendungen
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Perturbation theory for linear operators
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Numerik symmetrischer Matrizen
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Die berechnung der fehlergrenzen bei linearen gleichungssystemen mit fehlerhaften koeffizienten
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Die konstruktion monotoner iterationsfolgen zur lösungseinschließung bei linearen Gleichungssystemen
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A generalised rayleigh quotient iteration for lambda-matrices
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Lineare Operatoren mit positiver inversen
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A mimmax theory for overdamped systems
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Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
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Mehrparametrige und nichtlineare eigenwertaufgaben
inferredcites →https://doi.org/10.1007/bf00282335openalex-snapshot
Existenz- und eindeutigkeitssätze für inverse eigenwertaufgaben mit hilfe des topologischen abbildungsgrades
inferredcites →https://doi.org/10.1007/bf00284162openalex-snapshot
Fehlerabschätzung bei linearen Gleichungssystemen mit dem Brouwerschen Fixpunktsatz
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Reducing the number of multiplikations in iterative processes
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Klassifikation ged�mpfter Schwingungssysteme und Eingrenzung ihrer Eigenwerte
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Approximate pseudoinverse solutions to ill-conditioned linear systems
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Iterative methods for solving linear equations
inferredcites →https://doi.org/10.1007/bf00932485openalex-snapshot
The solution of linear equations by minimization
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Least-square acceleration of iterative methods for linear equations
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Decomposition of square matrices into a product of an orthogonal and a triangular matrix
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A suite of programs for solving linear algebraic equations
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Solution to a perturbed system of linear algebraic equations when the perturbed system is degenerate
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Minimization of numerical algorithms for solving arbitrary systems of linear equations
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On matricial norms subordinate to vectorial norms
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Anwendung von Fizpunkts�tzen auf nichtlineare Eigenwertaufgaben
inferredcites →https://doi.org/10.1007/bf01110678openalex-snapshot
Relaxation bei nichtsymmetrischen Matrizen
inferredcites →https://doi.org/10.1007/bf01110911openalex-snapshot
Iterationsverfahren und allgemeine Euler-Verfahren
inferredcites →https://doi.org/10.1007/bf01262699openalex-snapshot
Monotonic solutions of certain integral equations
inferredcites →https://doi.org/10.1007/bf01385882openalex-snapshot
Stabile Sonderf�lle des Quotienten-Differenzen-Algorithmus
inferredcites →https://doi.org/10.1007/bf01385886openalex-snapshot
Sur-d�composition de normes g�n�rales et proc�d�s it�ratifs
inferredcites →https://doi.org/10.1007/bf01385887openalex-snapshot
Some infra-max bounds for the spectral radii of splittings ofH-matrices
inferredcites →https://doi.org/10.1007/bf01385888openalex-snapshot
On convergence of alternating direction procedures in the presence of singular operators
inferredcites →https://doi.org/10.1007/bf01385892openalex-snapshot
An error analysis of Householder's method for the symmetric eigenvalue problem
inferredcites →https://doi.org/10.1007/bf01385897openalex-snapshot
TheLR transformation method for symmetric matrices
inferredcites →https://doi.org/10.1007/bf01386057openalex-snapshot
Ausgangsvektoren f�r monotone Iterationen bei linearen Gleichungssystemen
inferredcites →https://doi.org/10.1007/bf01386061openalex-snapshot
Block iterative methods for cyclically reduced matrix equations
inferredcites →https://doi.org/10.1007/bf01386065openalex-snapshot
�ber ein mehrstufiges Iterationsverfahren zur L�sung von linearen Gleichungen
inferredcites →https://doi.org/10.1007/bf01386067openalex-snapshot
Direct solution of partial difference equations by tensor product methods
inferredcites →https://doi.org/10.1007/bf01386075openalex-snapshot
Some generalisations of the theory of successive over-relaxation
inferredcites →https://doi.org/10.1007/bf01386078openalex-snapshot
On the characterization of least upper bound norms in matrix space
inferredcites →https://doi.org/10.1007/bf01386087openalex-snapshot
On eigenvalues of matrices dependent on a parameter
inferredcites →https://doi.org/10.1007/bf01386090openalex-snapshot
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
inferredcites →https://doi.org/10.1007/bf01386091openalex-snapshot
Zur quadratischen Konvergenz des Jacobi-Verfahrens
inferredcites →https://doi.org/10.1007/bf01386093openalex-snapshot
A general formulation of alternating direction methods
inferredcites →https://doi.org/10.1007/bf01386300openalex-snapshot
On the field of values subordinate to a norm
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Transformations by diagonal matrices in a normed space
inferredcites →https://doi.org/10.1007/bf01386310openalex-snapshot
On convergence of alternating direction procedures
inferredcites →https://doi.org/10.1007/bf01386313openalex-snapshot
Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge
inferredcites →https://doi.org/10.1007/bf01386321openalex-snapshot
Note on the quadratic convergence of the cyclic Jacobi process
inferredcites →https://doi.org/10.1007/bf01386332openalex-snapshot
Householder's method for symmetric matrices
inferredcites →https://doi.org/10.1007/bf01386333openalex-snapshot
Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
inferredcites →https://doi.org/10.1007/bf01386334openalex-snapshot
Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration
inferredcites →https://doi.org/10.1007/bf01386335openalex-snapshot
Bemerkungen zum Verfahren von Hessenberg
inferredcites →https://doi.org/10.1007/bf01386369openalex-snapshot
�ber diskrete und lineare Tschebyscheff-Approximationen
inferredcites →https://doi.org/10.1007/bf01395863openalex-snapshot
Anwendungen des Fixpunktsatzes f�r Pseudometrische R�ume in der Intervallrechnung
inferredcites →https://doi.org/10.1007/bf01395868openalex-snapshot
Sur l'extension de normes sur des alg�bres de matrices
inferredcites →https://doi.org/10.1007/bf01395932openalex-snapshot
Partitioned matrices and Seidel convergence
inferredcites →https://doi.org/10.1007/bf01397971openalex-snapshot
Monotone Iterationsfolgen bei Gleichungssystemen mit fehlerhaften Koeffizienten und Iterationsbeschleunigung
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Stability of the solutions of linear least squares problems
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Note on matrices with a very ill-conditioned eigenproblem
inferredcites →https://doi.org/10.1007/bf01402562openalex-snapshot
A class of norms of iterative methods for solving systems of linear equations
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Unit�re Transformationen gro�er Matrizen
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On asymptotically best norms for powers of operators
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A note on sub-multiplicative norms
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Normes et algorithmes associ�s � une d�coupe de matrice
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On the stability of finite numerical procedures
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A fully stable rational version of theQR algorithm for tridiagonal matrices
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�ber konvergente Zerlegungen von Matrizen
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Etude statistique des erreurs dans l'arithmetique des ordinateurs; application au controle des resultats d'algorithmes numeriques
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Methode numerique de detection de la singularite d'une matrice
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Perturbation d'une matrice hermitienne ou normale
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