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Mathematics Subject Classification – MSC2020
65XX
Numerical analysis
304789
65Fxx
Numerical linear algebra
39141
65F05
Direct numerical methods for linear systems and matrix inversion
5905
65F08
Preconditioners for iterative methods
2310
65F10
Iterative numerical methods for linear systems
[See also
65N22
]
14465
65F15
Numerical computation of eigenvalues and eigenvectors of matrices
7292
65F18
Numerical solutions to inverse eigenvalue problems
458
65F20
Numerical solutions to overdetermined systems, pseudoinverses
3639
65F22
Illposedness and regularization problems in numerical linear algebra
1132
65F25
Orthogonalization in numerical linear algebra
769
65F35
Numerical computation of matrix norms, conditioning, scaling
[See also
15A12
,
15A60
]
4797
65F40
Numerical computation of determinants
470
65F45
Numerical methods for matrix equations
105
65F50
Computational methods for sparse matrices
3926
65F55
Numerical methods for lowrank matrix approximation; matrix compression
77
65F60
Numerical computation of matrix exponential and similar matrix functions
342
65F99
None of the above, but in this section
689
Overview
00
General and overarching topics; collections
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory; homological algebra
19
\(K\)theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximations and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Operations research, mathematical programming
91
Game theory, economics, finance, and other social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication theory, circuits
97
Mathematics education
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