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...

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}}...

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...

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...

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...

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

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...

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...

≥ 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...

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...

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...

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...

 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...

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...

_{\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...

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

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 =...

\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...

MR 0190031. Seymour, Paul D.; Thomas, Robin (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...

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

In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...

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):...

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