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2010, 1, Princeton series in applied mathematics., ISBN 0691143412, Volume 9781400833887, ix, 363
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Matrices | Numerical analysis | Mathematics | Technology | Math
Book
2010, 1, Princeton series in applied mathematics, ISBN 0691143412, Volume 9781400833887, ix, 363
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Matrices | Numerical analysis | Mathematics | Technology | Math
Book
1999, Studies in mathematics and its applications, ISBN 9780444501691, Volume 28., xxii, 753
Hardbound. This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of... 
Equations, Simultaneous | Differential equations | Mathematics
Book
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, ISSN 0895-4798, 2017, Volume 38, Issue 1, pp. 96 - 117
In this paper we derive closed-form expressions for the coefficients of the residual and characteristic polynomials in the full orthogonalization method and... 
MATHEMATICS, APPLIED | harmonic Ritz values | residual polynomials | NONSYMMETRIC LINEAR-SYSTEMS | KRYLOV SUBSPACE METHODS | PROJECTION METHODS | COMPANION MATRICES | GERSHGORIN DISKS | normal matrices | BOUNDS | FOM and GMRES algorithms | SINGULAR-VALUES | CONVERGENCE | Ritz values | ZEROS
Journal Article
2010, Princeton series in applied mathematics, ISBN 0691143412
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Numerical analysis | Matrices
Web Resource
2010, Princeton series in applied mathematics, ISBN 0691143412
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and... 
Numerical analysis | Matrices
Web Resource
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, ISSN 1068-9613, 2017, Volume 47, pp. 127 - 152
Today the most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. In this paper we show how to construct a non-orthogonal... 
Krylov methods | MATHEMATICS, APPLIED | RATIONAL FUNCTIONS | GMRES | MATRICES | ALGORITHM | Q-OR algorithm | linear systems
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 01/2014, Volume 75, pp. 100 - 107
In this paper we give necessary and sufficient conditions for the complete or partial stagnation of the GMRES iterative method for solving real linear systems.... 
Complete stagnation | Partial stagnation | GMRES | MATHEMATICS, APPLIED | MATRICES | CONVERGENCE | SYSTEMS | ARNOLDI | Linear systems | Matrices (mathematics) | Mathematical analysis | Stagnation | Norms | Columns (process) | Factorization | Convergence
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2011, Volume 33, Issue 5, pp. 2686 - 2705
We provide formulas for the norm of the error when solving nonsymmetric linear systems with the full orthogonalization method (FOM) and the generalized minimum... 
Linear systems | Error norm/estimates | error norm/estimates | CONJUGATE-GRADIENT ALGORITHM | MATHEMATICS, APPLIED | linear systems | KRYLOV SUBSPACE METHODS | BOUNDS
Journal Article
Electronic Transactions on Numerical Analysis, ISSN 1068-9613, 2017, Volume 47, pp. 37 - 56
Journal Article
Numerical Algorithms, ISSN 1017-1398, 2014, Volume 66, Issue 3, pp. 679 - 680
Journal Article
Electronic Transactions on Numerical Analysis, ISSN 1068-9613, 2014, Volume 43, pp. 188 - 212
In this paper we give a necessary and sufficient condition for a set of complex values theta(1), . . . , theta(k) to be the Arnoldi Ritz values at iteration k... 
Eigenvalues | Arnoldi algorithm | Ritz values | Normal matrices | MATHEMATICS, APPLIED | eigenvalues | normal matrices
Journal Article
1999, Studies in mathematics and its applications, ISBN 9780444501691, Volume 28
Web Resource
Electronic Transactions on Numerical Analysis, ISSN 1068-9613, 2012, Volume 39, pp. 75 - 101
We study the problem of complete stagnation of the generalized minimum residual method for real matrices of order n <= 4 when solving nonsymmetric linear... 
Linear systems | GMRES | Stagnation | REAL QUADRATIC-FORMS | MATHEMATICS, APPLIED | NUMBER | CONVEXITY | linear systems | 3X3 MATRICES | NUMERICAL RANGE | DEFINITE LINEAR COMBINATION | stagnation | SYMMETRIC-MATRICES | SYSTEMS | OPTIMIZATION | HERMITIAN MATRICES
Journal Article
Numerical Algorithms, ISSN 1017-1398, 06/2012, Volume 60, Issue 2, pp. 189 - 191
Journal Article
Numerical Algorithms, ISSN 1017-1398, 10/2005, Volume 40, Issue 2, pp. 157 - 169
Journal Article
Computational Methods in Applied Sciences, ISSN 1871-3033, 2010, Volume 15, pp. 161 - 167
Journal Article
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