linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives a variational...

In computer science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source...

minimax theorem is a theorem that claims that max x ∈ X min y ∈ Y f ( x , y ) = min y ∈ Y max x ∈ X f ( x , y ) {\displaystyle \max _{x\in X}\min _{y\in...

{S}}_{n}({\mathcal {B}}_{1\cdots n},{\mathcal {D}}_{1\cdots n})} . It is called the min-max theorem for zero-sum quantum games. One turn quantum refereed games are a sub...

v_{\max })=\lambda _{\max }} . The Rayleigh quotient is used in the min-max theorem to get exact values of all eigenvalues. It is also used in eigenvalue...

largest singular value σ1(T) is equal to the operator norm of T (see Min-max theorem). If T acts on Euclidean space R n {\displaystyle \mathbb {R} ^{n}}...

real symmetric matrix Minimax theorem, one of a number of theorems relating to the max-min inequality The Min-max theorem, a characterization of eigenvalues...

theory, approximate max-flow min-cut theorems concern the relationship between the maximum flow rate (max-flow) and the minimum cut (min-cut) in multi-commodity...

referred to as the index of imprimitivity or the order of cyclicity. Min-max theorem – Variational characterization of eigenvalues of compact Hermitian...

In mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for...

generalized by the max-flow min-cut theorem, which is a weighted, edge version, and which in turn is a special case of the strong duality theorem for linear programs...

technique of modal density analysis. Min-max theorem#Cauchy interlacing theorem Wolfram Alpha. "Poincaré Separation Theorem". Magnus, Jan R.; Neudecker, Heinz...

Arrival theorem (queueing theory) Blum's speedup theorem (computational complexity theory) Max flow min cut theorem (graph theory) No free lunch theorem (philosophy...

mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer...

In mathematical analysis, the intermediate value theorem states that if f {\displaystyle f} is a continuous function whose domain contains the interval...

computational complexity theory, a branch of computer science, the Max/min CSP/Ones classification theorems state necessary and sufficient conditions that determine...

≥ M − 1 > 0. {\displaystyle N^{-1}\geq M^{-1}>0.} Moreover, by the min-max theorem, the kth largest eigenvalue of M {\displaystyle M} is greater than...

In mathematics, the max–min inequality is as follows: For any function   f : Z × W → R   , {\displaystyle \ f:Z\times W\to \mathbb {R} \ ,} sup z ∈ Z...

network G ∞ ′ {\displaystyle G'_{\infty }} , as follows from the max-flow min-cut theorem. Let ( S , T ) {\displaystyle (S,T)} be a minimum cut. Let A =...

_{\max })=\lambda _{\max }.} The Rayleigh quotient is used in the min-max theorem to get exact values of all eigenvalues. It is also used in eigenvalue...

space Inner product space Legendre polynomials Matrices Mercer's theorem Min-max theorem Normal vector Orthonormal basis Orthogonal complement Orthogonalization...

Co Inc. 2. Seymour, P.; Thomas, R. (1993). "Graph searching, and a min-max theorem for tree-width". Journal of Combinatorial Theory, Series B. 58 (1):...

1007/s00778-019-00587-4, S2CID 85519668 Matula, David W. (1968), "A min-max theorem for graphs with application to graph coloring", SIAM 1968 National...

where it is commonly used to study the Sturm–Liouville problem. Min-max theorem Max–min inequality Rayleigh quotient Courant, Richard; Hilbert, David (1989)...

\lambda _{i}(A)+\lambda _{j}(B)\leq \lambda _{i+j-n}(A+B)} Proof By the min-max theorem, it suffices to show that any W ⊂ V {\textstyle W\subset V} with dimension...

 98, doi:10.1090/memo/0098. Hegde, Rajneesh; Jain, Kamal (2005), "A min-max theorem about the road coloring conjecture", Proc. EuroComb 2005 (PDF), Discrete...

MR 1050503. Seymour, Paul D.; Thomas, Robin (1993), "Graph searching and a min-max theorem for tree-width", Journal of Combinatorial Theory, Series B, 58 (1):...

1975. His doctoral dissertation, Matroids, Hypergraphs and the Max-Flow Min-Cut Theorem, was supervised by Aubrey William Ingleton. From 1974 to 1976 he...

have a haven of order 5, it must have treewidth exactly 3. The same min-max theorem can be generalized to infinite graphs of finite treewidth, with a definition...

. In planar directed graphs, the feedback arc set problem obeys a min-max theorem: the minimum size of a feedback arc set equals the maximum number of...