Two special classes of matrices:
Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Urbana, Ill.
1990
|
| Series: | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report
979 |
| Subjects: | |
| Summary: | Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP where the superscript * denotes the conjugate transpose and P is some unitary matrix of order n with the property P[superscript k]=I, K[greater than or equal to]2. I is the identity matrix, and k is assumed to be the smallest positive integer for which the relations hold. The matrices U and V are referred to as circulative and anticirculative matrices, respectively After introducing these two classes of matrices and developing general theories associated with them, we then discuss their special cases and in particular define another two special classes of matrices, to be referred to as rotative and antirotative matrices, which are a special case of the circulative/anticirculative matrices on one hand and a generalization of (block) circulant/anticirculant matrices on the other. |
| Physical Description: | 12 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008973896 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 940206s1990 |||| 00||| eng d | ||
| 035 | |a (OCoLC)23451125 | ||
| 035 | |a (DE-599)BVBBV008973896 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T | ||
| 100 | 1 | |a Chen, Hsin-Chu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Two special classes of matrices |c Hsin-Chu Chen |
| 264 | 1 | |a Urbana, Ill. |c 1990 | |
| 300 | |a 12 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |v 979 | |
| 520 | 3 | |a Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP where the superscript * denotes the conjugate transpose and P is some unitary matrix of order n with the property P[superscript k]=I, K[greater than or equal to]2. I is the identity matrix, and k is assumed to be the smallest positive integer for which the relations hold. The matrices U and V are referred to as circulative and anticirculative matrices, respectively | |
| 520 | 3 | |a After introducing these two classes of matrices and developing general theories associated with them, we then discuss their special cases and in particular define another two special classes of matrices, to be referred to as rotative and antirotative matrices, which are a special case of the circulative/anticirculative matrices on one hand and a generalization of (block) circulant/anticirculant matrices on the other. | |
| 650 | 4 | |a Matrices | |
| 830 | 0 | |a Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |v 979 |w (DE-604)BV008930033 |9 979 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005925548 | ||
Record in the Search Index
| _version_ | 1804123311861399552 |
|---|---|
| any_adam_object | |
| author | Chen, Hsin-Chu |
| author_facet | Chen, Hsin-Chu |
| author_role | aut |
| author_sort | Chen, Hsin-Chu |
| author_variant | h c c hcc |
| building | Verbundindex |
| bvnumber | BV008973896 |
| ctrlnum | (OCoLC)23451125 (DE-599)BVBBV008973896 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01992nam a2200301 cb4500</leader><controlfield tag="001">BV008973896</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940206s1990 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)23451125</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008973896</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chen, Hsin-Chu</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Two special classes of matrices</subfield><subfield code="c">Hsin-Chu Chen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Urbana, Ill.</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">12 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report</subfield><subfield code="v">979</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP where the superscript * denotes the conjugate transpose and P is some unitary matrix of order n with the property P[superscript k]=I, K[greater than or equal to]2. I is the identity matrix, and k is assumed to be the smallest positive integer for which the relations hold. The matrices U and V are referred to as circulative and anticirculative matrices, respectively</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">After introducing these two classes of matrices and developing general theories associated with them, we then discuss their special cases and in particular define another two special classes of matrices, to be referred to as rotative and antirotative matrices, which are a special case of the circulative/anticirculative matrices on one hand and a generalization of (block) circulant/anticirculant matrices on the other.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report</subfield><subfield code="v">979</subfield><subfield code="w">(DE-604)BV008930033</subfield><subfield code="9">979</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005925548</subfield></datafield></record></collection> |
| id | DE-604.BV008973896 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:27:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005925548 |
| oclc_num | 23451125 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | 12 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| record_format | marc |
| series | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |
| series2 | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |
| spelling | Chen, Hsin-Chu Verfasser aut Two special classes of matrices Hsin-Chu Chen Urbana, Ill. 1990 12 S. txt rdacontent n rdamedia nc rdacarrier Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 979 Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP where the superscript * denotes the conjugate transpose and P is some unitary matrix of order n with the property P[superscript k]=I, K[greater than or equal to]2. I is the identity matrix, and k is assumed to be the smallest positive integer for which the relations hold. The matrices U and V are referred to as circulative and anticirculative matrices, respectively After introducing these two classes of matrices and developing general theories associated with them, we then discuss their special cases and in particular define another two special classes of matrices, to be referred to as rotative and antirotative matrices, which are a special case of the circulative/anticirculative matrices on one hand and a generalization of (block) circulant/anticirculant matrices on the other. Matrices Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 979 (DE-604)BV008930033 979 |
| spellingShingle | Chen, Hsin-Chu Two special classes of matrices Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report Matrices |
| title | Two special classes of matrices |
| title_auth | Two special classes of matrices |
| title_exact_search | Two special classes of matrices |
| title_full | Two special classes of matrices Hsin-Chu Chen |
| title_fullStr | Two special classes of matrices Hsin-Chu Chen |
| title_full_unstemmed | Two special classes of matrices Hsin-Chu Chen |
| title_short | Two special classes of matrices |
| title_sort | two special classes of matrices |
| topic | Matrices |
| topic_facet | Matrices |
| volume_link | (DE-604)BV008930033 |
| work_keys_str_mv | AT chenhsinchu twospecialclassesofmatrices |