The Reverse Order Law for the {1,3<i>M</i>,4<i>N</i>}—The Inverse of Two Matrix Products
By using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-04-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/5/344 |
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| Summary: | By using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mi>A</mi><mi>B</mi><mo>)</mo></mrow><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mi>M</mi><mo>,</mo><mn>4</mn><mi>K</mi><mo>}</mo><mo>=</mo><mi>B</mi><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mi>N</mi><mo>,</mo><mn>4</mn><mi>K</mi><mo>}</mo><mi>A</mi><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mi>M</mi><mo>,</mo><mn>4</mn><mi>N</mi><mo>}</mo></mrow></semantics></math></inline-formula> are presented. |
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| ISSN: | 2075-1680 |