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scientific article; zbMATH DE number 7280141

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7280141

Statements

scholarly article

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publication date

2 December 2020

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full work available at URL

http://jprm.sms.edu.pk/a-new-lanczos-type-algorithm-for-systems-of-linear-equations/

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zbMATH Keywords

Lanczos algorithm

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Arnoldi algorithm

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systems of linear equations

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formal orthogonal polynomials

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Muhammad Farooq

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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The principle of minimized iterations in the solution of the matrix eigenvalue problem

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New implementations of Lanczos method

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Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems

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Padé-type approximation and general orthogonal polynomials

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Lanczos-type algorithms for solving systems of linear equations

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Hybrid procedures for solving linear systems

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A new presentation of orthogonal polynomials with applications to their computation

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Avoiding breakdown and near-breakdown in Lanczos type algorithms

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A breakdown-free Lanczos type algorithm for solving linear systems

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The matrix and polynomial approaches to Lanczos-type algorithms

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New look-ahead Lanczos-type algorithms for linear systems

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A review of formal orthogonality in Lanczos-based methods

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Krylov solvers for linear algebraic systems.

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A regularizing Lanczos iteration method for underdetermined linear systems

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IMPROVING THE SOLVABILITY OF ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS BY REDUCING THE CONDITION NUMBER OF THEIR MATRICES

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New Recurrence Relationships between Orthogonal Polynomials which Lead to New Lanczos-type Algorithms

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A unified approach to some strategies for the treatment of breakdown in Lanczos-type algorithms

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Methods of conjugate gradients for solving linear systems

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A new linear programming algorithm - better or worse than the simplex method?

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The Lanczos and Conjugate Gradient Algorithms

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The Lanczos Algorithm with Selective Orthogonalization

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A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices

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On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides

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An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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