The Minimal Residual Method or MINRES is a Krylov subspace method for the iterative solution of symmetric linear equation systems. It was proposed by mathematicians Christopher Conway Paige and Michael Alan Saunders in 1975.[1]
In contrast to the popular CG method, the MINRES method does not assume that the matrix is positive definite, only the symmetry of the matrix is mandatory.
^Christopher C. Paige, Michael A. Saunders (1975). "Solution of sparse indefinite systems of linear equations". SIAM Journal on Numerical Analysis. 12 (4): 617–629. doi:10.1137/0712047.
and 26 Related for: Minimal residual method information
In mathematics, the generalized minimalresidualmethod (GMRES) is an iterative method for the numerical solution of an indefinite nonsymmetric system...
mortgage Residual (statistics) Studentized residualResidual time, in the theory of renewal processes Residual (numerical analysis) Minimalresidualmethod Generalized...
works with the minimalresidualmethod (MINRES). In the case of non-symmetric matrices, methods such as the generalized minimalresidualmethod (GMRES) and...
Minimalresidual disease (MRD), also known as Molecular residual disease, is the name given to small numbers of cancer cells that remain in a person either...
minimalresidual), TFQMR (transpose-free QMR) and MINRES (minimalresidualmethod). Iterative method, which has a section on Krylov subspace methods Nocedal...
and simpler to implement than IRAM. The generalized minimalresidualmethod (GMRES) is a method for solving Ax = b based on Arnoldi iteration. Arnoldi...
to CG but only assumed that the matrix is symmetric Generalized minimalresidualmethod (GMRES) — based on the Arnoldi iteration Chebyshev iteration —...
gradient method. If A is not symmetric, then examples of iterative solutions to the linear problem are the generalized minimalresidualmethod and CGN...
In statistics and optimization, errors and residuals are two closely related and easily confused measures of the deviation of an observed value of an...
scientist specializing in numerical linear algebra and the generalized minimalresidualmethod. She is a professor emerita of computer science at the University...
iterative methods for linear systems include the preconditioned conjugate gradient method, the biconjugate gradient method, and generalized minimalresidual method...
^{2}} , giving the minimal distance from the space. The smaller model space is a subspace of the larger one, and thereby the residual of the smaller model...
Nonparametric statistics is a type of statistical analysis that makes minimal assumptions about the underlying distribution of the data being studied...
more memory and has slower solution times than the FVM. In this method, a weighted residual equation is formed: R i = ∭ W i Q d V e {\displaystyle R_{i}=\iiint...
are made in order to establish guidelines for suitable treatment methods. The minimal intervention approach to classification was originally introduced...
(correlated) residuals. Numerical methods for linear least squares include inverting the matrix of the normal equations and orthogonal decomposition methods. Consider...
variational methods, such as 3D-Var and 4D-Var. Typical minimization algorithms are the conjugate gradient method or the generalized minimalresidualmethod. The...
state. Objective assessment of residual cognitive function can be extremely difficult as motor responses may be minimal, inconsistent, and difficult to...
which is the roof of the spinal canal. It is a major spine operation with residual scar tissue and may result in postlaminectomy syndrome. Depending on the...
the resection margin is clear of residual cancer, or if residual cancer is present at the resection margin. The method of processing is usually done with...
produced by strongly heating wood (or other animal and plant materials) in minimal oxygen to remove all water and volatile constituents. In the traditional...
entails that the solution is the minimal unbiased linear estimator. LASSO estimator is another regularization method in statistics. Elastic net regularization...