- ad hoc SOR method
- seemethod, ad hoc SOR
- asynchronous method
- seemethod, asynchronous
- Bi-CGSTAB method
- seemethod, Bi-CGSTAB
- Bi-Conjugate Gradient Stabilized method
- seemethod, Bi-CGSTAB
- bi-orthogonality
- in BiCG
- BiConjugate Gradient (BiCG)
- in QMR
- Quasi-Minimal Residual (QMR)

- BiCG method
- seemethod, BiCG
- BiConjugate Gradient method
- seemethod, BiCG
`BLAS`- Why Use Templates?
`BLAS`- CRS-based Factorization Solve
- block methods
- (, )
- breakdown
- avoiding by look-ahead
- Convergence
- in Bi-CGSTAB
- Convergence
- in BiCG
- Convergence, Convergence, Convergence, Quasi-Minimal Residual (QMR)
- in BiCG
- Convergence, Convergence, Convergence, Quasi-Minimal Residual (QMR)
- in BiCG
- Convergence, Convergence, Convergence, Quasi-Minimal Residual (QMR)
- in BiCG
- Convergence, Convergence, Convergence, Quasi-Minimal Residual (QMR)
- in CG for indefinite systems
- MINRES and SYMMLQ

- CG method
- seemethod, CG
- CGNE method
- seemethod, CGNE
- CGNR method
- seemethod, CGNR
- CGS method
- seemethod, CGS
- chaotic method
- seemethod, asynchronous
- Chebyshev iteration
- seemethod, Chebyshev iteration
- codes
`C++`- Why Use Templates?
`FORTRAN`- Why Use Templates?
`MATLAB`- Why Use Templates?

- complex systems
- (, )
- Conjugate Gradient method
- seemethod, CG
- Conjugate Gradient Squared method
- seemethod, CGS
- convergence
- irregular
- Glossary
- irregular
- Glossary
- irregular
- Glossary
- irregular
- Glossary
- irregular
- Glossary
- irregular
- Glossary
- linear
- Glossary
- of Bi-CGSTAB
- (, )
- of Bi-CGSTAB
- (, )
- of BiCG
- (, )
- of BiCG
- (, )
- of CG
- (, )
- of CG
- (, )
- of CGNR and CGNE
- Theory
- of CGS
- (, )
- of CGS
- (, )
- of Chebyshev iteration
- (, )
- of Chebyshev iteration
- (, )
- of Gauss-Seidel
- The Gauss-Seidel Method
- of Jacobi
- (, )
- of Jacobi
- (, )
- of MINRES
- MINRES and SYMMLQ
- of QMR
- (, )
- of QMR
- (, )
- of SSOR
- The Symmetric Successive
- smooth
- Glossary
- smooth
- Glossary
- stalled
- Glossary
- stalled
- Glossary
- stalled
- Glossary
- superlinear
- Glossary
- superlinear
- Glossary
- superlinear
- Glossary
- superlinear
- Glossary

- data structures
- (, )
- diffusion
- artificial
- Modified incomplete factorizations

- domain decomposition
- multiplicative Schwarz
- (, )
- multiplicative Schwarz
- (, )
- non-overlapping subdomains
- (, )
- non-overlapping subdomains
- (, )
- overlapping subdomains
- (, )
- overlapping subdomains
- (, )
- Schur complement
- Domain Decomposition Methods
- Schwarz
- Domain Decomposition Methods

- fill-in strategies
- seepreconditioners, point incomplete"factorizations
`FORTRAN`codes- seecodes,
`FORTRAN` - Gauss-Seidel method
- seemethod, Gauss-Seidel
- Generalized Minimal Residual method
- seemethod, GMRES
- GMRES method
- seemethod, GMRES
- ill-conditioned systems
- using GMRES on
- Implementation

- implementation
- of Bi-CGSTAB
- (, )
- of Bi-CGSTAB
- (, )
- of BiCG
- (, )
- of BiCG
- (, )
- of CG
- (, )
- of CG
- (, )
- of CGS
- (, )
- of CGS
- (, )
- of Chebyshev iteration
- (, )
- of Chebyshev iteration
- (, )
- of GMRES
- (, )
- of GMRES
- (, )
- of QMR
- (, )
- of QMR
- (, )

`IMSL`- Introduction
- inner products
- as bottlenecks
- Implementation, Chebyshev Iteration, Comparison with other
- as bottlenecks
- Implementation, Chebyshev Iteration, Comparison with other
- as bottlenecks
- Implementation, Chebyshev Iteration, Comparison with other
- avoiding with Chebyshev
- Chebyshev Iteration, Comparison with other , Comparison with other , Implementation
- avoiding with Chebyshev
- Chebyshev Iteration, Comparison with other , Comparison with other , Implementation
- avoiding with Chebyshev
- Chebyshev Iteration, Comparison with other , Comparison with other , Implementation
- avoiding with Chebyshev
- Chebyshev Iteration, Comparison with other , Comparison with other , Implementation

- irregular convergence
- seeconvergence, irregular
`ITPACK`- Choosing the Value
- Jacobi method
- seemethod, Jacobi
- Krylov subspace
- Theory
- Lanczos
- and CG
- Theory, (, )
- and CG
- Theory, (, )
- and CG
- Theory, (, )

`LAPACK`- Introduction
- linear convergence
- seeconvergence, linear
`LINPACK`- Introduction
`MATLAB`codes- seecodes,
`MATLAB` - method
- ad hoc SOR
- Notes and References
- adaptive Chebyshev
- Chebyshev Iteration, Comparison with other
- adaptive Chebyshev
- Chebyshev Iteration, Comparison with other
- asynchronous
- Notes and References
- Bi-CGSTAB
- What Methods Are , Overview of the , (ii, )
- Bi-CGSTAB
- What Methods Are , Overview of the , (ii, )
- Bi-CGSTAB
- What Methods Are , Overview of the , (ii, )
- Bi-CGSTAB
- What Methods Are , Overview of the , (ii, )
- Bi-CGSTAB2
- Convergence
- BiCG
- What Methods Are , Overview of the , (ii, )
- BiCG
- What Methods Are , Overview of the , (ii, )
- BiCG
- What Methods Are , Overview of the , (ii, )
- BiCG
- What Methods Are , Overview of the , (ii, )
- CG
- What Methods Are , Overview of the , (ii, )
- CG
- What Methods Are , Overview of the , (ii, )
- CG
- What Methods Are , Overview of the , (ii, )
- CG
- What Methods Are , Overview of the , (ii, )
- CG
- What Methods Are , Overview of the , (ii, )
- CGNE
- What Methods Are , Overview of the , (ii, )
- CGNE
- What Methods Are , Overview of the , (ii, )
- CGNE
- What Methods Are , Overview of the , (ii, )
- CGNE
- What Methods Are , Overview of the , (ii, )
- CGNR
- What Methods Are , Overview of the , (ii, )
- CGNR
- What Methods Are , Overview of the , (ii, )
- CGNR
- What Methods Are , Overview of the , (ii, )
- CGNR
- What Methods Are , Overview of the , (ii, )
- CGS
- What Methods Are , Overview of the , (ii, )
- CGS
- What Methods Are , Overview of the , (ii, )
- CGS
- What Methods Are , Overview of the , (ii, )
- CGS
- What Methods Are , Overview of the , (ii, )
- chaotic
- Notes and References, seemethod, asynchronous
- chaotic
- Notes and References, seemethod, asynchronous
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- Chebyshev iteration
- What Methods Are , Iterative Methods, Overview of the , (ii, )
- domain decomposition
- (ii, )
- domain decomposition
- (ii, )
- Gauss-Seidel
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Gauss-Seidel
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Gauss-Seidel
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Gauss-Seidel
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Gauss-Seidel
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- GMRES
- What Methods Are , Overview of the , (ii, )
- GMRES
- What Methods Are , Overview of the , (ii, )
- GMRES
- What Methods Are , Overview of the , (ii, )
- GMRES
- What Methods Are , Overview of the , (ii, )
- Jacobi
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Jacobi
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Jacobi
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Jacobi
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- Jacobi
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- MINRES
- What Methods Are , Overview of the , (ii, )
- MINRES
- What Methods Are , Overview of the , (ii, )
- MINRES
- What Methods Are , Overview of the , (ii, )
- MINRES
- What Methods Are , Overview of the , (ii, )
- of simultaneous displacements
- seemethod, Jacobi
- of successive displacements
- seemethod, Gauss-Seidel
- QMR
- What Methods Are , Overview of the , (ii, )
- QMR
- What Methods Are , Overview of the , (ii, )
- QMR
- What Methods Are , Overview of the , (ii, )
- QMR
- What Methods Are , Overview of the , (ii, )
- relaxation
- Notes and References, Notes and References
- relaxation
- Notes and References, Notes and References
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SSOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SSOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SSOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SSOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SSOR
- What Methods Are , Overview of the , Stationary Iterative Methods, (ii, )
- SYMMLQ
- What Methods Are , Overview of the , (ii, )
- SYMMLQ
- What Methods Are , Overview of the , (ii, )
- SYMMLQ
- What Methods Are , Overview of the , (ii, )
- SYMMLQ
- What Methods Are , Overview of the , (ii, )

- minimization property
- in Bi-CGSTAB
- Convergence
- in CG
- Theory, MINRES and SYMMLQ
- in CG
- Theory, MINRES and SYMMLQ
- in MINRES
- MINRES and SYMMLQ

- MINRES method
- seemethod, MINRES
- multigrid
- (, )
`NAG`- Introduction
- nonstationary methods
- (, )
- normal equations
- Overview of the , Overview of the
- overrelaxation
- Choosing the Value
- parallelism
- (, )
- in BiCG
- Implementation
- in CG
- Implementation
- in Chebyshev iteration
- Implementation
- in GMRES
- Implementation, Implementation
- in GMRES
- Implementation, Implementation
- in QMR
- Implementation
- inner products
- (, )
- inner products
- (, )
- matrix-vector products
- (, )
- matrix-vector products
- (, )
- vector updates
- Vector updates

- preconditioners
- (, )
- ADI
- (, )
- ADI
- (, )
- ADI
- (, )
- block factorizations
- (, )
- block factorizations
- (, )
- block tridiagonal
- (, )
- block tridiagonal
- (, )
- central differences
- (, )
- central differences
- (, )
- cost
- (, )
- cost
- (, )
- fast solvers
- (, )
- fast solvers
- (, )
- incomplete factorization
- (, )
- incomplete factorization
- (, )
- left
- Left and right
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point incomplete factorizations
- (, )
- point Jacobi
- (, )
- point Jacobi
- (, )
- polynomial
- (, )
- polynomial
- (, )
- reduced system
- (, )
- reduced system
- (, )
- right
- Left and right
- SSOR
- (, )
- SSOR
- (, )
- SSOR
- (, )
- symmetric part
- (, )
- symmetric part
- (, )

- QMR method
- seemethod, QMR
- Quasi-Minimal Residual method
- seemethod, QMR
- relaxation method
- seemethod, relaxation
- residuals
- in BiCG
- BiConjugate Gradient (BiCG)
- in CG
- Conjugate Gradient Method
- in CG
- Conjugate Gradient Method

- restarting
- in BiCG
- Convergence
- in GMRES
- Generalized Minimal Residual , Theory, Implementation
- in GMRES
- Generalized Minimal Residual , Theory, Implementation
- in GMRES
- Generalized Minimal Residual , Theory, Implementation

- row projection methods
- (, )
- search directions
- in BiCG
- BiConjugate Gradient (BiCG)
- in CG
- Conjugate Gradient Method , Conjugate Gradient Method , Theory
- in CG
- Conjugate Gradient Method , Conjugate Gradient Method , Theory
- in CG
- Conjugate Gradient Method , Conjugate Gradient Method , Theory
- in CG
- Conjugate Gradient Method , Conjugate Gradient Method , Theory

- smooth convergence
- seeconvergence, smooth
- software
- obtaining
- (ii, )
- obtaining
- (ii, )

- SOR method
- seemethod, SOR
- sparse matrix storage
- (, )
- BCRS
- (, )
- BCRS
- (, )
- CCS
- (, )
- CCS
- (, )
- CDS
- (, )
- CDS
- (, )
- CRS
- (, )
- CRS
- (, )
- JDS
- (, )
- JDS
- (, )
- SKS
- (, )
- SKS
- (, )

- SSOR method
- seemethod, SSOR
- stalled convergence
- seeconvergence, stalled
- Stationary methods
- (, )
- stopping criteria
- (, )
- Successive Overrelaxation method
- seemethod, SOR
- superlinear convergence
- seeconvergence, superlinear
- Symmetric LQ method
- seemethod, SYMMLQ
- Symmetric Successive Overrelaxation method
- seemethod, SSOR
- SYMMLQ method
- seemethod, SYMMLQ
- template
- Introduction
- three-term recurrence
- in CG
- Theory

- two-term recurrence
- Implementation
- underrelaxation
- Choosing the Value
- wavefronts
- seepreconditioners, point incomplete factorizations, wavefronts in

Mon Nov 20 08:52:54 EST 1995