標題: Titlebook: Handbook for Automatic Computation; Volume II: Linear Al J. H. Wilkinson,C. Reinsch,F. L. Bauer,A. S. House Book 1971 Springer-Verlag Berli [打印本頁] 作者: 民俗學(xué) 時間: 2025-3-21 19:52
書目名稱Handbook for Automatic Computation影響因子(影響力)
書目名稱Handbook for Automatic Computation影響因子(影響力)學(xué)科排名
書目名稱Handbook for Automatic Computation網(wǎng)絡(luò)公開度
書目名稱Handbook for Automatic Computation網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Handbook for Automatic Computation被引頻次
書目名稱Handbook for Automatic Computation被引頻次學(xué)科排名
書目名稱Handbook for Automatic Computation年度引用
書目名稱Handbook for Automatic Computation年度引用學(xué)科排名
書目名稱Handbook for Automatic Computation讀者反饋
書目名稱Handbook for Automatic Computation讀者反饋學(xué)科排名
作者: 致詞 時間: 2025-3-21 21:01 作者: Expertise 時間: 2025-3-22 03:30
Rational , Transformation with Newton Shift for Symmetric Tridiagonal Matricesd throughout the iteration. Thus, the . step may be achieved by two successive Cholesky . steps or equivalently, since the matrix is tridiagonal, by two . steps which are numerically stable [4] and avoid square roots. The rational . step used here needs slightly fewer additions than the Ortega-Kaiser step [3].作者: charisma 時間: 2025-3-22 05:29
Book 1971henever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentati作者: Nausea 時間: 2025-3-22 11:38
Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/h/image/420737.jpg作者: 辯論 時間: 2025-3-22 14:17 作者: 共同時代 時間: 2025-3-22 18:02 作者: 滔滔不絕的人 時間: 2025-3-22 22:18
https://doi.org/10.1007/978-94-009-1569-5Let . be a real .×. matrix and.the induced mapping ..→... If ..?0, then one can solve the first of these equations for .. and insert the result into the remaining equations.作者: instill 時間: 2025-3-23 04:03 作者: 反省 時間: 2025-3-23 06:28
https://doi.org/10.1007/978-3-642-56257-0In an earlier paper in this series [2] the triangular factorization of positive definite band matrices was discussed. With such matrices there is no need for pivoting, but with non-positive definite or unsymmetric matrices pivoting is necessary in general, otherwise severe numerical instability may result even when the matrix is well-conditioned.作者: 劇毒 時間: 2025-3-23 12:05
https://doi.org/10.1007/978-0-387-28822-2If . is a non-singular matrix then, in general, it can be factorized in the form . = ., where . is lower-triangular and . is upper-triangular. The factorization, when it exists, is unique to within a non-singular diagonal multiplying factor.作者: NOTCH 時間: 2025-3-23 15:55 作者: 固執(zhí)點好 時間: 2025-3-23 21:46
https://doi.org/10.1007/978-3-319-41585-7Let . be a matrix of . rows and . columns, .≦.. If and only if the columns are linearly independent, then for any vector . there exists a unique vector . minimizing the Euclidean norm of ..作者: 收集 時間: 2025-3-24 00:40 作者: 值得 時間: 2025-3-24 02:43 作者: 進入 時間: 2025-3-24 07:59
https://doi.org/10.5822/978-1-61091-205-1In [1] an algorithm was described for carrying out the . algorithm for a real symmetric matrix using shifts of origin. This algorithm is described by the relations.where .. is orthogonal, .. is lower triangular and .. is the shift of origin determined from the leading 2×2 matrix of ...作者: Anonymous 時間: 2025-3-24 11:21 作者: 輕浮女 時間: 2025-3-24 15:44
Symmetric Decomposition of a Positive Definite MatrixThe methods are based on the following theorem due to . [.].作者: PLE 時間: 2025-3-24 21:26 作者: 憤慨一下 時間: 2025-3-25 02:18
Symmetric Decomposition of Positive Definite Band MatricesThe method is based on the following theorem. If . is a positive definite matrix of band form such that.then there exists a real non-singular lower triangular matrix . such that作者: grotto 時間: 2025-3-25 06:17
Solution of Symmetric and Unsymmetric Band Equations and the Calculations of Eigenvectors of Band MaIn an earlier paper in this series [2] the triangular factorization of positive definite band matrices was discussed. With such matrices there is no need for pivoting, but with non-positive definite or unsymmetric matrices pivoting is necessary in general, otherwise severe numerical instability may result even when the matrix is well-conditioned.作者: PALMY 時間: 2025-3-25 11:31
Solution of Real and Complex Systems of Linear EquationsIf . is a non-singular matrix then, in general, it can be factorized in the form . = ., where . is lower-triangular and . is upper-triangular. The factorization, when it exists, is unique to within a non-singular diagonal multiplying factor.作者: 手勢 時間: 2025-3-25 13:48
Linear Least Squares Solutions by Housholder TransformationsLet . be a given .×. real matrix with .≧. and of rank . and . a given vector. We wish to determine a vector . such that.where ∥ … ∥ indicates the euclidean norm. Since the euclidean norm is unitarily invariant.where .=.. and ... = .. We choose . so that.and . is an upper triangular matrix. Clearly,.where . denotes the first . components of ..作者: tolerance 時間: 2025-3-25 19:21 作者: cochlea 時間: 2025-3-25 23:32 作者: 善辯 時間: 2025-3-26 00:49
The Jacobi Method for Real Symmetric MatricesAs is well known, a real symmetric matrix can be transformed iteratively into diagonal form through a sequence of appropriately chosen . (in the following called .):.where ..= ..(.) is an orthogonal matrix which deviates from the unit matrix only in the elements作者: Malfunction 時間: 2025-3-26 05:54
The Implicit , AlgorithmIn [1] an algorithm was described for carrying out the . algorithm for a real symmetric matrix using shifts of origin. This algorithm is described by the relations.where .. is orthogonal, .. is lower triangular and .. is the shift of origin determined from the leading 2×2 matrix of ...作者: Myofibrils 時間: 2025-3-26 10:59 作者: Abduct 時間: 2025-3-26 13:48
978-3-642-86942-6Springer-Verlag Berlin Heidelberg 1971作者: 克制 時間: 2025-3-26 17:22 作者: VAN 時間: 2025-3-26 20:57 作者: Inferior 時間: 2025-3-27 01:23
The Science of Construction Materials has been described first by Stiefel and Hesteness [1, 2] and additional information is contained in [3] and [4]. The notations used here coincide partially with those used in [5] where also the connexions with other methods and generalisations of the CG-algorithm are presented.作者: 豎琴 時間: 2025-3-27 08:11 作者: Communicate 時間: 2025-3-27 13:19 作者: 大量殺死 時間: 2025-3-27 13:59
https://doi.org/10.1007/978-3-319-92796-1 unitary and . is upper-triangular then.that is, . is unitarily similar to .. By repeated application of the above result a sequence of matrices which are unitarily similar to a given matrix .. may be derived from the relations.and, in general, .. tends to upper-triangular form.作者: 節(jié)省 時間: 2025-3-27 19:07
Iterative Refinement of the Solution of a Positive Definite System of Equationsas based on the Cholesky factorization of .. If A is ill-conditioned the computed solution may not be sufficiently accurate, but (provided A is not almost singular to working accuracy) it may be improved by an iterative procedure in which the Cholesky decomposition is used repeatedly.作者: corpuscle 時間: 2025-3-28 01:35
The Conjugate Gradient Method has been described first by Stiefel and Hesteness [1, 2] and additional information is contained in [3] and [4]. The notations used here coincide partially with those used in [5] where also the connexions with other methods and generalisations of the CG-algorithm are presented.作者: epicondylitis 時間: 2025-3-28 05:30 作者: amphibian 時間: 2025-3-28 09:56
Householder’s Tridiagonalization of a Symmetric Matrixd since its publication and in view of its importance it seems worthwhile to issue improved versions of the procedure given there. More than one variant is given since the most efficient form of the procedure depends on the method used to solve the eigenproblem of the derived tridiagonal matrix.作者: Alienated 時間: 2025-3-28 11:00 作者: Dignant 時間: 2025-3-28 16:00
https://doi.org/10.1007/978-94-007-6683-9as based on the Cholesky factorization of .. If A is ill-conditioned the computed solution may not be sufficiently accurate, but (provided A is not almost singular to working accuracy) it may be improved by an iterative procedure in which the Cholesky decomposition is used repeatedly.作者: 散步 時間: 2025-3-28 19:51 作者: Arb853 時間: 2025-3-29 02:28
https://doi.org/10.1007/978-3-319-55509-6 . largest eigenvalues of .., and the matrix . consists of the orthonormalized eigenvectors of .... The diagonal elements of . are the non-negative square roots of the eigenvalues of ...; they are called .. We shall assume that.Thus if .=., σ. = σ.=?=σ. = 0. The decomposition (1) is called the . (SV作者: 啜泣 時間: 2025-3-29 05:34 作者: 使痛苦 時間: 2025-3-29 09:42
https://doi.org/10.1007/978-3-319-92796-1 unitary and . is upper-triangular then.that is, . is unitarily similar to .. By repeated application of the above result a sequence of matrices which are unitarily similar to a given matrix .. may be derived from the relations.and, in general, .. tends to upper-triangular form.作者: 變化 時間: 2025-3-29 14:30
https://doi.org/10.1007/978-1-4684-1713-5corput rections in combination with . steps. If an initial shift has rendered the matrix positive or negative definite, then this property is preserved throughout the iteration. Thus, the . step may be achieved by two successive Cholesky . steps or equivalently, since the matrix is tridiagonal, by t作者: 壯麗的去 時間: 2025-3-29 16:37
Iterative Refinement of the Solution of a Positive Definite System of Equationsas based on the Cholesky factorization of .. If A is ill-conditioned the computed solution may not be sufficiently accurate, but (provided A is not almost singular to working accuracy) it may be improved by an iterative procedure in which the Cholesky decomposition is used repeatedly.作者: 喪失 時間: 2025-3-29 21:50 作者: 浪費物質(zhì) 時間: 2025-3-30 01:47
Singular Value Decomposition and Least Squares Solutions . largest eigenvalues of .., and the matrix . consists of the orthonormalized eigenvectors of .... The diagonal elements of . are the non-negative square roots of the eigenvalues of ...; they are called .. We shall assume that.Thus if .=., σ. = σ.=?=σ. = 0. The decomposition (1) is called the . (SV作者: Bravura 時間: 2025-3-30 05:38
Householder’s Tridiagonalization of a Symmetric Matrixd since its publication and in view of its importance it seems worthwhile to issue improved versions of the procedure given there. More than one variant is given since the most efficient form of the procedure depends on the method used to solve the eigenproblem of the derived tridiagonal matrix.作者: Spartan 時間: 2025-3-30 10:50
The , and , Algorithms for Symmetric Matrices unitary and . is upper-triangular then.that is, . is unitarily similar to .. By repeated application of the above result a sequence of matrices which are unitarily similar to a given matrix .. may be derived from the relations.and, in general, .. tends to upper-triangular form.作者: Infect 時間: 2025-3-30 13:08
Rational , Transformation with Newton Shift for Symmetric Tridiagonal Matricescorput rections in combination with . steps. If an initial shift has rendered the matrix positive or negative definite, then this property is preserved throughout the iteration. Thus, the . step may be achieved by two successive Cholesky . steps or equivalently, since the matrix is tridiagonal, by t作者: dry-eye 時間: 2025-3-30 18:24
J. H. Wilkinson,C. Reinsch,F. L. Bauer,A. S. House作者: Handedness 時間: 2025-3-30 23:50
Book 1971ined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.作者: 奴才 時間: 2025-3-31 04:07
0072-7830 a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.978-3-642-86942-6978-3-642-86940-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 作者: 文件夾 時間: 2025-3-31 08:52
Utilizing Ground-Penetrating Radar (GPR) in Subsurface Applications to Detect and Investigate Buriedas the potential to be effectively employed in the marble quarrying industry. Notably, these methodologies enable the differentiation between high-quality, usable marble blocks and those marred by internal fractures or residual debris. This discovery holds substantial promise for the marble industry作者: Congruous 時間: 2025-3-31 11:48 作者: 審問,審訊 時間: 2025-3-31 15:06
https://doi.org/10.1007/978-3-031-44699-3e, zum Teil wiederholt, besucht worden sind. Bezüglich der Beschreibung der Anlagen wird auf die Literaturzusammenstellung über diesen Abschnitt verwiesen, so da? hier mehr die geographischen Merkmale erw?hnt werden k?nnen. .)作者: 丑惡 時間: 2025-3-31 20:37 作者: curriculum 時間: 2025-3-31 21:41
Book 2017ject. It offers a unique overview of what universities around the world are doing to implement sustainable development (i.e. via curriculum innovation, research, activities, or practical projects) and how their efforts relate to education for sustainable development at the university level..The Hand
