About: Matrix norm

Property	Value
dbo:description	ベクトルのノルムを行列に対し自然に一般化したもの (ja) Norme sur l'espace vectoriel des matrices (fr) mathematische Norm (de) norm on a vector space of matrices (en) norma nad prostorem matic (cs) norma sobre un espai vectorial de matrius (ca) נורמה הפועלת על מטריצות (iw)
dbo:wikiPageExternalLink	https://web.archive.org/web/20160304053759/https:/cs.uwaterloo.ca/~watrous/CS766/LectureNotes/02.pdf http://www.matrixanalysis.com
dbo:wikiPageWikiLink	dbr:Kendall_Atkinson dbr:Mathematical_optimization dbr:Infimum_and_supremum dbr:Unitary_operator dbr:Conjugate_transpose dbr:Matrix_norm dbr:Spectral_radius dbr:Adjacency_matrix dbr:Hölder's_inequality dbr:Matrix_multiplication dbr:Rotation_matrix dbr:Singular_value dbc:Linear_algebra dbr:Complex_number dbr:Function_(mathematics) dbr:Real_number dbr:Vector_space dbr:Weighted_graph dbr:Hermitian_matrix dbr:Rank_(linear_algebra) dbr:Mathematics dbr:Directed_graph dbr:Unitary_matrix dbr:Bipartite_graph dbr:Topology_(structure) dbr:Square_root_of_a_matrix dbc:Norms_(mathematics) dbr:Euclidean_norm dbr:Singular_value_decomposition dbr:Cauchy–Schwarz_inequality dbr:Eigenvalue dbr:Field_(mathematics) dbr:Hilbert_space dbr:Vector_norm dbr:Matrix_(mathematics) dbr:Symmetric_matrix dbr:Numerical_linear_algebra dbr:Standard_basis dbr:Logarithmic_norm dbr:Schatten_norm dbr:Frobenius_inner_product dbr:Norm_(mathematics) dbr:Operator_norm dbr:Communication_complexity dbr:Grothendieck_inequality dbr:Positive_semidefinite_matrix dbr:Loewner_order dbr:Dual_norm dbr:John_Watrous_(computer_scientist) dbr:James_W._Demmel dbr:Convex_envelope dbr:Sparse_coding dbr:Dimension_(mathematics) dbr:Double_vertical_bar dbr:Robust_data_analysis dbr:Singular_Value_Decomposition dbr:Trace_(matrix)
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Context dbt:Main dbt:Reflist dbt:Notelist dbt:Math dbt:Anchor dbt:See_also dbt:For dbt:EquationNote dbt:EquationRef dbt:Multiple_issues dbt:Further dbt:Lead_too_short dbt:Mvar dbt:Abs dbt:NumBlk dbt:Efn dbt:Short_description
dct:subject	dbc:Linear_algebra dbc:Norms_(mathematics)
gold:hypernym	dbr:Extension
rdfs:label	Matrix norm (en) معيار المصفوفة (ar) Norma matice (cs) Matrixnorm (de) Matrica normo (eo) Norma matricial (es) Norma matriciale (it) 行列ノルム (ja) Norme matricielle (fr) 행렬 노름 (ko) Norma macierzowa (pl) Matrixnorm (nl) Norma matricial (pt) Норма матрицы (ru) Норма матриці (uk) Matrisnorm (sv) 矩陣範數 (zh)
rdfs:seeAlso	dbr:Frobenius_inner_product dbr:Norm_(mathematics)
owl:sameAs	freebase:Matrix norm yago-res:Matrix norm wikidata:Matrix norm dbpedia-it:Matrix norm dbpedia-nl:Matrix norm dbpedia-de:Matrix norm dbpedia-fr:Matrix norm dbpedia-zh:Matrix norm dbpedia-ja:Matrix norm dbpedia-pt:Matrix norm dbpedia-es:Matrix norm dbpedia-hu:Matrix norm dbpedia-ru:Matrix norm dbpedia-sv:Matrix norm dbpedia-pl:Matrix norm dbpedia-ko:Matrix norm http://d-nb.info/gnd/4210047-1 dbpedia-ar:Matrix norm dbpedia-cs:Matrix norm dbpedia-eo:Matrix norm dbpedia-sl:Matrix norm dbpedia-uk:Matrix norm dbpedia-ur:Matrix norm dbpedia-global:Matrix norm
prov:wasDerivedFrom	wikipedia-en:Matrix_norm?oldid=1292038912&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Matrix_norm
is dbo:wikiPageDisambiguates of	dbr:Norm
is dbo:wikiPageRedirects of	dbr:Frobenius_norm dbr:Spectral_norm dbr:Spectral_norm dbr:Sub-multiplicative_norm dbr:Matrix_norms dbr:Matrix_p-norm dbr:Nuclear_norm dbr:Frobenius_matrix_norm dbr:Induced_norm dbr:Submultiplicative_norm dbr:Subordinate_norm dbr:Trace_norm
is dbo:wikiPageWikiLink of	dbr:Perron–Frobenius_theorem dbr:Private_biometrics dbr:Condition_number dbr:List_of_functional_analysis_topics dbr:K-SVD dbr:Matrix_Chernoff_bound dbr:Broyden's_method dbr:Outer_product dbr:List_of_mathematical_symbols_by_subject dbr:Matrix_norm dbr:Spectral_radius dbr:Rotation_matrix dbr:LINPACK_benchmarks dbr:Random_Fibonacci_sequence dbr:Cholesky_decomposition dbr:Projection_(linear_algebra) dbr:Schur_decomposition dbr:Analytic_function_of_a_matrix dbr:Magnus_expansion dbr:Non-negative_matrix_factorization dbr:Orthogonal_matrix dbr:Matrix_completion dbr:Matrix_exponential dbr:Riemann–Silberstein_vector dbr:Lax_equivalence_theorem dbr:Power-flow_study dbr:Eight-point_algorithm dbr:Singular_value_decomposition dbr:Triangular_matrix dbr:Matrix_(mathematics) dbr:Norm dbr:Banach_algebra dbr:Baker–Campbell–Hausdorff_formula dbr:List_of_unsolved_problems_in_mathematics dbr:Inverse_iteration dbr:Schatten_norm dbr:Hilbert–Schmidt_operator dbr:Bauer–Fike_theorem dbr:Fidelity_of_quantum_states dbr:Neumann_series dbr:Frobenius_inner_product dbr:Operator_norm dbr:Joint_spectral_radius dbr:Frobenius_norm dbr:List_of_Chinese_discoveries dbr:Discrete-time_Markov_chain dbr:Kadison–Singer_problem dbr:Alternating-direction_implicit_method dbr:Moore–Penrose_inverse dbr:High-dimensional_statistics dbr:Dual_norm dbr:Quasiregular_map dbr:Vectorization_(mathematics) dbr:Computational_anatomy dbr:Spectral_norm dbr:L1-norm_principal_component_analysis dbr:Numerical_certification dbr:Direct_coupling_analysis dbr:Natural_resonance_theory dbr:Sub-multiplicative_norm dbr:Matrix_norms dbr:Matrix_p-norm dbr:Nuclear_norm dbr:Frobenius_matrix_norm dbr:Induced_norm dbr:Submultiplicative_norm dbr:Subordinate_norm dbr:Trace_norm
is owl:differentFrom of	dbr:Spectral_radius
is foaf:primaryTopic of	wikipedia-en:Matrix_norm