Posted on

Algebraic and Computational Aspects of Real Tensor Ranks by Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki PDF

By Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

ISBN-10: 4431554580

ISBN-13: 9784431554585

This booklet offers entire summaries of theoretical (algebraic) and computational features of tensor ranks, maximal ranks, and common ranks, over the genuine quantity box. even though tensor ranks were usually argued within the advanced quantity box, it may be emphasised that this publication treats genuine tensor ranks, that have direct functions in facts. The publication presents numerous attention-grabbing rules, together with determinant polynomials, determinantal beliefs, completely nonsingular tensors, completely complete column rank tensors, and their connection to bilinear maps and Hurwitz-Radon numbers. as well as stories of tips on how to ensure genuine tensor ranks in info, international theories equivalent to the Jacobian approach also are reviewed in information. The publication comprises besides an available and complete creation of mathematical backgrounds, with fundamentals of confident polynomials and calculations by utilizing the Groebner foundation. in addition, this publication offers insights into numerical equipment of discovering tensor ranks via simultaneous singular worth decompositions.

Show description

Read Online or Download Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics) PDF

Best social sciences statistics books

Nonrecursive Models: Endogeneity, Reciprocal Relationships, by Pamela M. Paxton,John R. Hipp,Sandra Marquart-Pyatt PDF

Nonrecursive types is a transparent and concise creation to the estimation and evaluation of nonrecursive simultaneous equation versions. This distinct monograph supplies useful suggestion at the specification and id of simultaneous equation versions, the best way to verify the standard of the estimates, and the way to properly interpret effects.

Mehmet Mehmetoglu,Tor Georg Jakobsen's Applied Statistics Using Stata: A Guide for the Social PDF

Transparent, intuitive and written with the social technological know-how scholar in brain, this e-book represents the appropriate mixture of statistical conception and perform. It specializes in questions that may be spoke back utilizing statistics and addresses universal topics and difficulties in a simple, easy-to-follow demeanour. The e-book conscientiously combines the conceptual facets of records with distinct technical recommendation delivering either the ‘why’ of records and the ‘how’.

Download e-book for iPad: Standard Setting in Education: The Nordic Countries in an by Sigrid Blömeke,Jan-Eric Gustafsson

This e-book summarizes the overseas proof on methodological concerns in ordinary atmosphere in schooling. through significantly discussing the standard-setting practices applied within the Nordic international locations and by means of offering new methodological techniques, it bargains clean views at the present learn.

Get Metrics of Subjective Well-Being: Limits and Improvements PDF

This quantity analyses the quantification of the impression of things measuring subjective future health, and specifically at the metrics utilized. With happiness reviews flourishing over the past a long time, either in variety of guides in addition to of their publicity, researchers operating during this box are conscious of strength weaknesses and pitfalls of those metrics.

Additional info for Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics)

Sample text

Download PDF sample

Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics) by Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

by Paul

Rated 4.35 of 5 – based on 7 votes