Linear maps preserving inverses of matrices on symmetric matrix spaces over fields
u57dfu4e0a u5bf9u79f0 u77e9u9635u7a7au95f4u4e0au7684u4fddu9006u7ebfu6027u6620u5c04
Determinant preserving maps on 2 u00d7 2 and 3 u00d7 3 symmetric matrix spaces
u4e09 u5143 u57dfu4e0a2u00d72u548c3u00d73u9636 u5bf9u79f0 u77e9u9635u7a7au95f4u4fddu884cu5217u5f0fu7684u6620u5c04
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix .
u5229u7528u5b9e u5bf9u79f0 u77e9u9635u7684u534au6b63u5b9au4e4bu7b49u4ef7u6761u4ef6u7ed9u51fau4e86u590du6b63u534au5b9au77e9u9635u7684u51e0u4e2au7b49u4ef7u6761u4ef6u3002
Parallel Computation for the Conditional number of Symmetric Matrix
u5bf9u79f0 u77e9u9635u6027u6001u6570u7684u5e76u884cu8ba1u7b97
Based on the eigensubspace estimation using discrete recurrent neural networks we propose algorithms to solve the problem of eigensubspace estimation for positive definite symmetric matrix .
u57fau4e8eu8fd0u7528u56deu590du5f0fu79bbu6563u795eu7ecfu7f51u7edcu8fdbu884cu7279u5f81u5b50u7a7au95f4u4f30u503cu7684u7406u8bbauff0cu63d0u51fau4e86u89e3u51b3u6b63u5b9a u5bf9u79f0 u77e9u9635u7684u7279u5f81u5b50u7a7au95f4u4f30u503cu95eeu9898u7684u7b97u6cd5u3002
To the inverse problem of the system of linear algebraic equations tiauthor gives a symmetric matrix solution and the expression of its general solution .
u672cu6587u7ed9u51fau7ebfu6027u4ee3u6570u65b9u7a0bu7ec4u53cdu95eeu9898u7684 u5bf9u79f0 u77e9u9635u89e3uff0cu53cau5176u901au89e3u8868u8fbeu5f0fu3002
A BT type u03b5 - subgradient algorithm for minimizing the greatest eigenvalue of a real symmetric matrix
u5b9e u5bf9u79f0 u77e9u9635u6700u5927u7279u5f81u503cu6781u5c0fu5316u95eeu9898u7684u4e00u4e2aBTu578bu03b5uff0du6b21u68afu5ea6u7b97u6cd5
An efficient algorithm and its program for solving some maximum ( minimum ) eigenvalues of a symmetric matrix
u4e00u4e2au6c42 u5bf9u79f0 u77e9u9635u67d0u4e9bu6700u5927uff08u6700u5c0fuff09u7279u5f81u503cu7684u6709u6548u7b97u6cd5u7684u7a0bu5e8fu5b9eu73b0
Solutions of the network are represented by the eigenvalues and eigenvectors of the symmetric matrix and the asymptotic behavior of the solutions is analyzed .
u8fd9u4e00u8868u8fbeu5f0fu662fu7531 u5bf9u79f0 u77e9u9635u7684u7279u5f81u503cu4e0eu7279u5f81u5411u91cfu8868u8fbeu7684uff0cu56e0u800cu975eu5e38u6e05u6670.u5229u7528u89e3u7684u89e3u6790u8868u8fbeu5f0fu5206u6790u4e86u7f51u7edcu7684u89e3u7684u5168u5c40u6e10u8fd1u884cu4e3au3002
Using some fundamental definition and theorem of unitary space this paper comes to several conclusions of Hermitian matrix which is parallel to symmetric matrix of Euclidean space .
u672cu6587u5229u7528u9149u7a7au95f4u4e2du4e00u4e9bu57fau672cu5b9au4e49u548cu5b9au7406uff0cu5f97u51fau4e0eu6b27u6c0fu7a7au95f4u4e2d u5bf9u79f0 u77e9u9635u76f8u5e73u884cu7684u5384u5c14u5bc6u7279u77e9u9635u7684u51e0u4e2au7ed3u8bbau3002
They cross at symmetric matrix two symmetric matrices are congruent if and only if they are similar .
u5bf9u79f0 u77e9u9635u662fu8fd9u4e24u4e2au77e5u8bc6u70b9u7684u4ea4u6c47u70b9uff0cu5373u4e24u4e2a u5b9eu5bf9u79f0u77e9u9635u5408u540cu5f53u4e14u4ec5u5f53u5b83u4eecu76f8u4f3cu3002
Let H be a real symmetric matrix of order n.
u8bbeHu4e3anu9636u5b9e u5bf9u79f0 u9635u3002
On the Characteristic Polynomial and Eigenvalues of a ( 0-1 ) Symmetric Matrix
u5173u4e8euff080&1uff09 u5bf9u79f0 u77e9u9635u7684u7279u5f81u591au9879u5f0fu548cu7279u5f81u503c
We characterized maps preserving idempotent matrix from symmetric matrix modules to matrix modules over a commutative idempotence-diagonalizable ring and 2 3 5 are units .
u523bu753bu4e862u4e3au53efu9006u5143u7684u4ea4u6362u5e42u7b49u53efu5bf9u89d2u5316u73afu4e0a u5bf9u79f0 u77e9u9635u6a21u5230u5168u77e9u9635u6a21u7684u4fddu5e42u7b49u7684u7ebfu6027u6620u5c04u7684u5f62u5f0fu3002
The full rank factorization and Moore-Penrose inverse for generalized row ( column ) unitary symmetric matrix
u5e7fu4e49u884cuff08u5217uff09u9149 u5bf9u79f0 u77e9u9635u7684u6ee1u79e9u5206u89e3u53cau5176Moore-Penroseu9006
Finally we implement a single-precision float-point accelerator for Cholesky decomposition basing the proposed structure and build its performance model . ( 2 ) We study the parallel structure and implementation for LDLT decomposition hardware accelerator of symmetric matrix .
u57fau4e8eu6240u63d0u51fau7684u5e76u884cu7b97u6cd5u4e0eu7ed3u6784uff0cu5b9eu73b0u4e86u5355u7cbeu5ea6u6d6eu70b9Choleskyu5206u89e3u786cu4ef6u52a0u901fu5668uff0cu5e76u5efau7acbu4e86u8be5u5e76u884cu7ed3u6784u52a0u901fu5668u7684u6027u80fdu6a21u578bu3002uff082uff09u7814u7a76u4e86 u5bf9u79f0 u77e9u9635LDLTu5206u89e3u52a0u901fu5668u7684u7ec6u7c92u5ea6u5e76u884cu7ed3u6784u4e0eu5b9eu73b0u3002
Weighted Least Square Solution of Symmetric Orthogonal Anti - symmetric Matrix on the Linear Manifold
u7ebfu6027u6d41u5f62u4e0au5bf9u79f0u6b63u4ea4u53cdu5bf9 u79f0 u77e9u9635u7684u52a0u6743u6700u5c0fu4e8cu4e58u89e3
A definition of infinite-dimensional I 1-norm symmetric matrix variate distributions is given .
u5e76u7ed9u51fau4e86u65e0u7a77u7ef4u03b91uff0du6a21 u5bf9u79f0 u77e9u9635u53d8u91cfu5206u5e03u7684u5b9au4e49u3002
A recursive algorithm for calculating the eigenvalues of a real symmetric matrix based on LDLT decomposition is given .
u57fau4e8e u7ebfu6027 u4ee3u6570 u4e0e u77e9u9635u7406u8bbauff0cu7ed9u51fau5229u7528LDLTu5206u89e3u8ba1u7b97u5b9e u5bf9u79f0 u77e9u9635u7279u5f81u503cu7684u9012u5f52u7b97u6cd5u3002
The number of solutions to the nonsingular symmetric matrix equation over a finite field of odd characteristic
u5947u7279u5f81u6709u9650u57dfu4e0au975eu5947u5f02 u5bf9u79f0 u77e9u9635u65b9u7a0bu89e3u6570u516cu5f0f
Suppose F is a field of characteristic not 2.Let M_n ( F ) and S_n ( F ) be the n u00d7 n full matrix algebra and symmetric matrix algebra over F respectively .
u8bbeFu662fu4e00u4e2au7279u5f81u4e0du4e3a2u7684u57dfuff0cMnuff08Fuff09u548cSnuff08Fuff09u5206u522bu8bb0Fu4e0au7684nu00d7nu5168u77e9u9635u4ee3u6570u548c u5bf9u79f0 u77e9u9635u4ee3u6570u3002
Various properties of symmetric matrix and anti-symmetric matrix ;
u672cu6587u8ba8u8bbau53cdu5bf9 u79f0 u77e9u9635u7684u6570u503c u8ba1u7b97u95eeu9898u3002
Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples .
u901au8fc7u5b9eu4f8bu63a2u8ba8u4e86u5b9e u5bf9u79f0 u77e9u9635u7684u6b63u4ea4u76f8u4f3cu53d8u6362u6807u51c6u5f62u5728u77e9u9635u95eeu9898u4e2du7684u5e94u7528u3002
Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix .
u4ecbu7ecdu4e86 u5bf9u79f0 u77e9u9635u7684u4e24u7279u5f81u503cu95eeu9898uff0cu5e76u7ed9u51fau4e86u8ba1u7b97u516cu5f0fu3002
Index Transforms of Row-compressing Symmetric Matrix and Its Application in Geomatics
u5bf9u79f0 u77e9u9635u884cu538bu7f29u7684u4e0bu6807u53d8u6362u5b9au7406u53cau5728u6d4bu7ed8u4e2du7684u5e94u7528
By utilizing the minimum super-bound theorem of the real symmetric matrix Hx theory and LMI method a decentralized stabilizing state feedback controller with smaller feedback gains matrix for a class of large-scale interconnected time-delay systems with uncertainty and nonlinear perturbations is designed .
u5229u7528u5b9e u5bf9u79f0 u77e9u9635u7684u6700u5c0fu4e0au754cu5b9au7406u3001Hu221eu7406u8bbau548cLMIu65b9u6cd5uff0cu5bf9u4e8eu4e00u7c7bu5177u6709u4e0du786eu5b9au6027u548cu975eu7ebfu6027u6270u52a8u7684u65f6u6edeu5173u8054u5927u7cfbu7edfuff0cu8bbeu8ba1u4e86u5177u6709u8f83u5c0fu53cdu9988u589eu76cau77e9u9635u5206u6563u7a33u5b9au5316u63a7u5236u5668u3002
The problem of computing a few of the largest ( or smallest ) eigenvalues of a large sparse symmetric matrix is investigated .
u7814u7a76u4e86u8ba1u7b97u5927u578bu7a00u758f u5bf9u79f0 u77e9u9635u7684u82e5u5e72u4e2au6700u5927u6216u6700u5c0fu7279u5f81u503cu7684u95eeu9898u3002
According to the theory of spectral decomposition of the real symmetric matrix and the weighted Moore-Penrose inverse we offer the WMP Mahalanobis distance .
u6839u636eu5b9e u5bf9u79f0 u77e9u9635u7684u8c31u5206u89e3u7406u8bbau4ee5u53cau52a0u6743Moore-Penroseu9006uff0cu63d0u51fau4e86WMPu9a6cu6c0fu8dddu79bbu3002
Two new methods for solution of eigenvalues and eigenvectors of real symmetric matrix are proposed in this paper .
u4e3au4e86u907fu514du73b0u6709u7279u5f81u5411u91cfu4e0eu7279u5f81u503cu6c42u89e3u65b9u6cd5u7684u590du6742 u8fd0u7b97uff0cu672cu6587u7ed9u51fau4e86u4e24u79cd u65b0u89e3u6cd5&u6700u4f18u5316u6cd5u4e0eu81eau7ec4u7ec7u7f51u7edcu6cd5u3002
Users can choose to customize the sample matrix or matrices and then rotate the selected operations such as matrix and can find on the XY axis symmetric matrix .
u8be5u7a0bu5e8fu7528u6765u5b9eu73b0 u77e9u9635u7684u65cbu8f6c u53cdu5c04u529fu80fdu3002u7528u6237u53efu9009u62e9u6837u4f8bu77e9u9635u6216u8005u81eau5b9au4e49u77e9u9635uff0cu7136u540eu5bf9u6240u9009u77e9u9635u8fdbu884c u65cbu8f6cu7b49u64cdu4f5cuff0cu5e76u53efu6c42u5173u4e8eXu3002
对称矩阵